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103442131033241 = 711132329400138723
BaseRepresentation
bin10111100001010001111111…
…011110011001110010011001
3111120020222012222010102021012
4113201101333132121302121
5102024243441021030431
61004000354200423305
730534306303156140
oct2741217736316231
9446228188112235
10103442131033241
112aa6161a268090
12b727940477b35
1345947219cb940
141b788a94c2757
15be5b7953b22b
hex5e147f799c99

103442131033241 has 128 divisors (see below), whose sum is σ = 149964706160640. Its totient is φ = 68695925760000.

The previous prime is 103442131033237. The next prime is 103442131033243. The reversal of 103442131033241 is 142330131244301.

It is not a de Polignac number, because 103442131033241 - 22 = 103442131033237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103442131033198 and 103442131033207.

It is not an unprimeable number, because it can be changed into a prime (103442131033243) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2671316306 + ... + 2671355028.

It is an arithmetic number, because the mean of its divisors is an integer number (1171599266880).

Almost surely, 2103442131033241 is an apocalyptic number.

103442131033241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103442131033241 is a deficient number, since it is larger than the sum of its proper divisors (46522575127399).

103442131033241 is a wasteful number, since it uses less digits than its factorization.

103442131033241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42807.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 103442131033241 its reverse (142330131244301), we get a palindrome (245772262277542).

The spelling of 103442131033241 in words is "one hundred three trillion, four hundred forty-two billion, one hundred thirty-one million, thirty-three thousand, two hundred forty-one".

Divisors: 1 7 11 13 23 29 77 91 143 161 203 253 299 319 377 667 1001 1771 2093 2233 2639 3289 4001 4147 4669 7337 8671 23023 28007 29029 38723 44011 51359 52013 60697 92023 95381 116029 271061 308077 364091 425953 503399 572143 644161 667667 812203 890629 1012253 1122967 1196299 1276319 1508377 2668667 2981671 3523793 4005001 5537389 6234403 7085771 7860769 8374093 8934233 9796919 10558639 11578177 12352637 13159289 14598571 16592147 18680669 25828241 29355337 34692671 38761723 68578433 81047239 86468459 92115023 102189997 116145029 127359947 154930723 160584281 180797687 205487359 242848697 284110651 335767133 381619381 891519629 1084515061 1124089967 1704237953 1988774557 2014099399 2350369931 2671335667 3563406629 3693438463 4492990967 11929665671 14098695793 22155093389 24943846403 25854069241 31450936769 39197472919 46324286177 49422900637 58408882571 103338792241 155085653723 274382310433 324270003239 345960304459 408862177997 509567147947 642497708281 723371545687 1136726714651 1343404299133 3566970035629 4497483957967 7957087002557 9403830093931 14777447290463 103442131033241