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100021132221111 = 32413472699289423
BaseRepresentation
bin10110101111011111111100…
…000011100101101010110111
3111010010221000200022120220200
4112233133330003211222313
5101102221234322033421
6552421023535331543
730032200620101313
oct2657377403455267
9433127020276820
10100021132221111
11299627a6658722
12b274922980bb3
1343a6c4c2734aa
141a9b097622b43
15b86ba4b38726
hex5af7fc0e5ab7

100021132221111 has 48 divisors (see below), whose sum is σ = 148480763558400. Its totient is φ = 64842660570240.

The previous prime is 100021132221103. The next prime is 100021132221133. The reversal of 100021132221111 is 111122231120001.

It is a happy number.

100021132221111 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 211 + 322 + 21 + 111 = 666.

It is not a de Polignac number, because 100021132221111 - 23 = 100021132221103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021132221161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345443346 + ... + 345732768.

It is an arithmetic number, because the mean of its divisors is an integer number (3093349240800).

Almost surely, 2100021132221111 is an apocalyptic number.

100021132221111 is a deficient number, since it is larger than the sum of its proper divisors (48459631337289).

100021132221111 is a wasteful number, since it uses less digits than its factorization.

100021132221111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292516 (or 292513 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 100021132221111 its reverse (111122231120001), we get a palindrome (211143363341112).

The spelling of 100021132221111 in words is "one hundred trillion, twenty-one billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 9 41 123 347 369 1041 2699 3123 8097 14227 24291 42681 110659 128043 289423 331977 868269 936553 995931 2604807 2809659 8428977 11866343 35599029 38398673 100429781 106797087 115196019 301289343 345588057 781152677 903868029 2343458031 4117621021 7030374093 12352863063 32027259757 37058589189 96081779271 271059978919 288245337813 813179936757 2439539810271 11113459135679 33340377407037 100021132221111