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201022021022102 = 271747197337127061
BaseRepresentation
bin101101101101010000010110…
…001001111011000110010110
3222100202111222021111022102122
4231231100112021323012112
5202322021044340201402
61551312124102535542
760225235035546260
oct5555202611730626
9870674867438378
10201022021022102
1159062a62263065
121a6674b81375b2
1388223ab85a0c7
14378d736920b30
15183909dbd7ca2
hexb6d41627b196

201022021022102 has 128 divisors (see below), whose sum is σ = 374660259950592. Its totient is φ = 78930132019200.

The previous prime is 201022021022101. The next prime is 201022021022129. The reversal of 201022021022102 is 201220120220102.

It is a happy number.

201022021022102 is digitally balanced in base 2, 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 (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201022021022101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7428463652 + ... + 7428490712.

It is an arithmetic number, because the mean of its divisors is an integer number (2927033280864).

Almost surely, 2201022021022102 is an apocalyptic number.

201022021022102 is a deficient number, since it is larger than the sum of its proper divisors (173638238928490).

201022021022102 is a wasteful number, since it uses less digits than its factorization.

201022021022102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30702.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201022021022102 its reverse (201220120220102), we get a palindrome (402242141242204).

The spelling of 201022021022102 in words is "two hundred one trillion, twenty-two billion, twenty-one million, twenty-two thousand, one hundred two".

Divisors: 1 2 7 14 17 34 47 94 119 197 238 329 394 658 799 1379 1598 2758 3349 3371 5593 6698 6742 9259 11186 18518 23443 23597 27061 46886 47194 54122 57307 64813 114614 129626 157403 158437 189427 314806 316874 378854 401149 460037 664087 802298 920074 1101821 1109059 1271867 1328174 2203642 2218118 2543734 2693429 3220259 4648609 5331017 5386858 6440518 8903069 9297218 10662034 11289479 17806138 18854003 21621739 22578958 31212089 37317119 37708006 43243478 62424178 74634238 79026353 90627289 91222631 151352173 158052706 181254578 182445262 218484623 250557799 302704346 436969246 501115598 530605513 634391023 638558417 1061211026 1268782046 1277116834 1550784727 1753904593 3101569454 3507809186 3714238591 4259482583 4287463657 7428477182 8518965166 8574927314 10855493089 17970858307 21710986178 29816378081 30012245599 35941716614 59632756162 60024491198 72886882169 125796008149 145773764338 251592016298 305504591219 510208175183 611009182438 844630340429 1020416350366 1689260680858 2138532138533 4277064277066 5912412383003 11824824766006 14358715787293 28717431574586 100511010511051 201022021022102