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102110132312331 = 31121344514861399
BaseRepresentation
bin10111001101111001011110…
…001010100001100100001011
3111101112122002200112112000120
4113031321132022201210023
5101340433022332443311
61001100425221234323
730336133160642103
oct2715713612414413
9441478080475016
10102110132312331
112a598733759300
12b5517648629a3
1344c8c37422320
141b3022a288203
15bc11bb2cd706
hex5cde5e2a190b

102110132312331 has 48 divisors (see below), whose sum is σ = 161196712454400. Its totient is φ = 57111703704000.

The previous prime is 102110132312291. The next prime is 102110132312341. The reversal of 102110132312331 is 133213231011201.

It is not a de Polignac number, because 102110132312331 - 29 = 102110132311819 is a prime.

It is a super-2 number, since 2×1021101323123312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102110132312341) 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, 18573570 + ... + 23434968.

It is an arithmetic number, because the mean of its divisors is an integer number (3358264842800).

Almost surely, 2102110132312331 is an apocalyptic number.

102110132312331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102110132312331 is a deficient number, since it is larger than the sum of its proper divisors (59086580142069).

102110132312331 is a wasteful number, since it uses less digits than its factorization.

102110132312331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865888 (or 4865877 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 102110132312331 its reverse (133213231011201), we get a palindrome (235323363323532).

The spelling of 102110132312331 in words is "one hundred two trillion, one hundred ten billion, one hundred thirty-two million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 11 13 33 39 121 143 363 429 1573 4451 4719 13353 48961 57863 146883 173589 538571 636493 1615713 1909479 4861399 7001423 14584197 21004269 53475389 63198187 160426167 189594561 588229279 695180057 1764687837 2085540171 7646980627 21638086949 22940941881 64914260847 238018956439 281295130337 714056869317 843885391011 2618208520829 3094246433707 7854625562487 9282739301121 34036710770777 102110132312331