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102233132021202 = 237131791112090151
BaseRepresentation
bin10111001111101100000001…
…100001001011010111010010
3111101222101120202012010111120
4113033230001201023113102
5101344441423244134302
61001233130312023110
730351046213135320
oct2717540141132722
9441871522163446
10102233132021202
112a6359118a5066
12b571571091a96
134507709c1b550
141b36177b5cd10
15bc44b97bb9bc
hex5cfb0184b5d2

102233132021202 has 128 divisors (see below), whose sum is σ = 266746280951808. Its totient is φ = 25348692096000.

The previous prime is 102233132021197. The next prime is 102233132021221. The reversal of 102233132021202 is 202120231332201.

It is a super-2 number, since 2×1022331320212022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2410827 + ... + 14500977.

It is an arithmetic number, because the mean of its divisors is an integer number (2083955319936).

Almost surely, 2102233132021202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102233132021202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133373140475904).

102233132021202 is an abundant number, since it is smaller than the sum of its proper divisors (164513148930606).

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

102233132021202 is a wasteful number, since it uses less digits than its factorization.

102233132021202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12091104.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102233132021202 its reverse (202120231332201), we get a palindrome (304353363353403).

The spelling of 102233132021202 in words is "one hundred two trillion, two hundred thirty-three billion, one hundred thirty-two million, twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 911 1326 1547 1822 2733 3094 4641 5466 6377 9282 11843 12754 15487 19131 23686 30974 35529 38262 46461 71058 82901 92922 108409 165802 201331 216818 248703 325227 402662 497406 603993 650454 1207986 1409317 2818634 4227951 8455902 12090151 24180302 36270453 72540906 84631057 157171963 169262114 205532567 253893171 314343926 411065134 471515889 507786342 616597701 943031778 1100203741 1233195402 1438727969 2200407482 2671923371 2877455938 3300611223 4316183907 5343846742 6601222446 8015770113 8632367814 11014127561 16031540226 18703463597 22028255122 33042382683 37406927194 56110390791 66084765366 77098892927 112220781582 143183658293 154197785854 187240168537 231296678781 286367316586 374480337074 429550974879 462593357562 561720505611 859101949758 1002285608051 1123441011222 1310681179759 2004571216102 2434122190981 2621362359518 3006856824153 3932043539277 4868244381962 6013713648306 7302366572943 7864087078554 14604733145886 17038855336867 34077710673734 51116566010601 102233132021202