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102221120122002 = 23373041387722937
BaseRepresentation
bin10111001111100000110101…
…100011011010110010010010
3111101221020120121200102112000
4113033200311203122302102
5101344242323222401002
61001223422335214430
730350142435522120
oct2717406543326222
9441836517612460
10102221120122002
112a630808456442
12b56b17a377416
13450654447b89b
141b35758724910
15bc4014e9a61c
hex5cf8358dac92

102221120122002 has 128 divisors (see below), whose sum is σ = 259772872020480. Its totient is φ = 29187626987520.

The previous prime is 102221120121979. The next prime is 102221120122019. The reversal of 102221120122002 is 200221021122201.

It is a happy number.

102221120122002 is a `hidden beast` number, since 10 + 22 + 211 + 201 + 220 + 0 + 2 = 666.

102221120122002 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4456592278 + ... + 4456615214.

It is an arithmetic number, because the mean of its divisors is an integer number (2029475562660).

Almost surely, 2102221120122002 is an apocalyptic number.

102221120122002 is an abundant number, since it is smaller than the sum of its proper divisors (157551751898478).

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

102221120122002 is a wasteful number, since it uses less digits than its factorization.

102221120122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29873 (or 29867 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102221120122002 its reverse (200221021122201), we get a palindrome (302442141244203).

The spelling of 102221120122002 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 3041 3877 6082 7754 9123 11631 18246 21287 22937 23262 27139 27369 34893 42574 45874 54278 54738 63861 68811 69786 81417 82107 104679 127722 137622 160559 162834 164214 191583 206433 209358 244251 321118 383166 412866 481677 488502 574749 619299 732753 963354 1149498 1238598 1445031 1465506 2890062 4335093 8670186 11789957 23579914 35369871 69751417 70739742 82529699 88926749 106109613 139502834 165059398 177853498 209254251 212219226 247589097 266780247 318328839 418508502 488259919 495178194 533560494 622487243 627762753 636657678 742767291 800340741 976519838 1244974486 1255525506 1464779757 1485534582 1600681482 1867461729 1883288259 2228301873 2401022223 2929559514 3734923458 3766576518 4394339271 4456603746 4802044446 5602385187 8788678542 11204770374 13183017813 16807155561 26366035626 33614311122 270426243709 540852487418 811278731127 1622557462254 1892983705963 2433836193381 3785967411926 4867672386762 5678951117889 7301508580143 11357902235778 14603017160286 17036853353667 34073706707334 51110560061001 102221120122002