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1020212022000 = 24353170035337
BaseRepresentation
bin11101101100010010110…
…00000000101011110000
310121112100022220112020110
432312021120000223300
5113203343234201000
62100402352141320
7133464543050613
oct16661130005360
93545308815213
101020212022000
113637400a9206
12145882b37840
1375289879782
143754296017a
151b810e13850
hexed89600af0

1020212022000 has 80 divisors (see below), whose sum is σ = 3289163578272. Its totient is φ = 272056537600.

The previous prime is 1020212021999. The next prime is 1020212022019. The reversal of 1020212022000 is 2202120201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85011669 + ... + 85023668.

Almost surely, 21020212022000 is an apocalyptic number.

1020212022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020212022000 is an abundant number, since it is smaller than the sum of its proper divisors (2268951556272).

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

1020212022000 is a wasteful number, since it uses less digits than its factorization.

1020212022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170035363 (or 170035347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020212022000 its reverse (2202120201), we get a palindrome (1022414142201).

The spelling of 1020212022000 in words is "one trillion, twenty billion, two hundred twelve million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 170035337 340070674 510106011 680141348 850176685 1020212022 1360282696 1700353370 2040424044 2550530055 2720565392 3400706740 4080848088 4250883425 5101060110 6801413480 8161696176 8501766850 10202120220 12752650275 13602826960 17003533700 20404240440 21254417125 25505300550 34007067400 40808480880 42508834250 51010601100 63763251375 68014134800 85017668500 102021202200 127526502750 170035337000 204042404400 255053005500 340070674000 510106011000 1020212022000