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102232300003134 = 237192914513044527
BaseRepresentation
bin10111001111101011001111…
…111011010001111100111110
3111101222022102202121020021120
4113033223033323101330332
5101344433222300100014
61001232511551011410
730351016461116550
oct2717531773217476
9441868382536246
10102232300003134
112a635525185624
12b57137a509b66
134507606737c72
141b360d945b4d0
15bc446b71cba9
hex5cfacfed1f3e

102232300003134 has 128 divisors (see below), whose sum is σ = 254629708185600. Its totient is φ = 26699275209600.

The previous prime is 102232300003133. The next prime is 102232300003157. The reversal of 102232300003134 is 431300003232201.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102232300003133) 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, 32056779 + ... + 35101305.

It is an arithmetic number, because the mean of its divisors is an integer number (1989294595200).

Almost surely, 2102232300003134 is an apocalyptic number.

102232300003134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102232300003134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127314854092800).

102232300003134 is an abundant number, since it is smaller than the sum of its proper divisors (152397408182466).

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

102232300003134 is a wasteful number, since it uses less digits than its factorization.

102232300003134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046038.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 102232300003134 its reverse (431300003232201), we get a palindrome (533532303235335).

The spelling of 102232300003134 in words is "one hundred two trillion, two hundred thirty-two billion, three hundred million, three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 114 133 174 203 266 399 406 551 609 798 1102 1218 1451 1653 2902 3306 3857 4353 7714 8706 10157 11571 20314 23142 27569 30471 42079 55138 60942 82707 84158 126237 165414 192983 252474 294553 385966 578949 589106 799501 883659 1157898 1599002 1767318 2398503 3044527 4797006 5596507 6089054 9133581 11193014 16789521 18267162 21311689 33579042 42623378 57846013 63935067 88291283 115692026 127870134 173538039 176582566 264873849 347076078 404922091 529747698 618038981 809844182 1214766273 1236077962 1677534377 1854116943 2429532546 3355068754 3708233886 4417608677 5032603131 8835217354 10065206262 11742740639 13252826031 23485481278 26505652062 30923260739 35228221917 61846521478 70456443834 83934564863 92769782217 128110651633 167869129726 185539564434 251803694589 256221303266 384331954899 503607389178 587541954041 768663909798 896774561431 1175083908082 1762625862123 1793549122862 2434102381027 2690323684293 3525251724246 4868204762054 5380647368586 7302307143081 14604614286162 17038716667189 34077433334378 51116150001567 102232300003134