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100212330020221 = 1954156931635417
BaseRepresentation
bin10110110010010010000000…
…010101010011110101111101
3111010211012112120201010202201
4112302102000111103311331
5101113334322441121341
6553044524151551501
730052046646424126
oct2662220025236575
9433735476633681
10100212330020221
1129a268a0848031
12b2a59a268b591
1343bbc9caa8973
141aa643469b04d
15b8bb45453331
hex5b2480553d7d

100212330020221 has 32 divisors (see below), whose sum is σ = 105920400297600. Its totient is φ = 94548604216320.

The previous prime is 100212330020191. The next prime is 100212330020227. The reversal of 100212330020221 is 122020033212001.

It is a cyclic number.

It is not a de Polignac number, because 100212330020221 - 213 = 100212330012029 is a prime.

It is a super-3 number, since 3×1002123300202213 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212330020227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18499596705 + ... + 18499602121.

It is an arithmetic number, because the mean of its divisors is an integer number (3310012509300).

Almost surely, 2100212330020221 is an apocalyptic number.

It is an amenable number.

100212330020221 is a deficient number, since it is larger than the sum of its proper divisors (5708070277379).

100212330020221 is a wasteful number, since it uses less digits than its factorization.

100212330020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9709.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100212330020221 its reverse (122020033212001), we get a palindrome (222232363232222).

The spelling of 100212330020221 in words is "one hundred trillion, two hundred twelve billion, three hundred thirty million, twenty thousand, two hundred twenty-one".

Divisors: 1 19 541 569 3163 5417 10279 10811 60097 102923 307829 1711183 1799747 2930597 3082273 5848751 17133971 32512477 34195193 55681343 58563187 325545449 973663127 1667509693 9269478311 9749229499 18499599413 31682684167 176120087909 185235360481 5274333158959 100212330020221