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2100419670420 = 2232517686411657
BaseRepresentation
bin11110100100001010110…
…001001011000110010100
321102210112212011122210200
4132210022301023012110
5233403124413423140
64244530335020500
7304515233422341
oct36441261130624
97383485148720
102100419670420
1173a868167545
1229b0aa36a730
131230b7cb17b6
14739375557c8
1539983eb4030
hex1e90ac4b194

2100419670420 has 72 divisors (see below), whose sum is σ = 6746053774824. Its totient is φ = 527164151808.

The previous prime is 2100419670383. The next prime is 2100419670421. The reversal of 2100419670420 is 240769140012.

It is a happy number.

2100419670420 is a `hidden beast` number, since 2 + 100 + 41 + 96 + 7 + 0 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 754531975044 + 1345887695376 = 868638^2 + 1160124^2 .

It is a super-2 number, since 2×21004196704202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100419670421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343202769 + ... + 343208888.

It is an arithmetic number, because the mean of its divisors is an integer number (93695191317).

Almost surely, 22100419670420 is an apocalyptic number.

2100419670420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100419670420 is an abundant number, since it is smaller than the sum of its proper divisors (4645634104404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2100419670420 is a wasteful number, since it uses less digits than its factorization.

2100419670420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686411689 (or 686411684 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2100419670420 in words is "two trillion, one hundred billion, four hundred nineteen million, six hundred seventy thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 686411657 1372823314 2059234971 2745646628 3432058285 4118469942 6177704913 6864116570 8236939884 10296174855 11668998169 12355409826 13728233140 20592349710 23337996338 24710819652 30888524565 35006994507 41184699420 46675992676 58344990845 61777049130 70013989014 105020983521 116689981690 123554098260 140027978028 175034972535 210041967042 233379963380 350069945070 420083934084 525104917605 700139890140 1050209835210 2100419670420