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102132203212002 = 231512111249742751
BaseRepresentation
bin10111001110001110000001…
…101100010100110011100010
3111101121202001211211101120010
4113032032001230110303202
5101341313223010241002
61001114515245225350
730340544130332265
oct2716160154246342
9441552054741503
10102132203212002
112a5a702a14a957
12b555aa4262256
1344cb043b69482
141b31321602cdc
15bc1a5dc6446c
hex5ce381b14ce2

102132203212002 has 64 divisors (see below), whose sum is σ = 206613003829248. Its totient is φ = 33654852000000.

The previous prime is 102132203212001. The next prime is 102132203212003. The reversal of 102132203212002 is 200212302231201.

It is an interprime number because it is at equal distance from previous prime (102132203212001) and next prime (102132203212003).

It is a self number, because there is not a number n which added to its sum of digits gives 102132203212002.

It is not an unprimeable number, because it can be changed into a prime (102132203212001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2388980127 + ... + 2389022877.

It is an arithmetic number, because the mean of its divisors is an integer number (3228328184832).

Almost surely, 2102132203212002 is an apocalyptic number.

102132203212002 is an abundant number, since it is smaller than the sum of its proper divisors (104480800617246).

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

102132203212002 is a wasteful number, since it uses less digits than its factorization.

102132203212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55615.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102132203212002 its reverse (200212302231201), we get a palindrome (302344505443203).

The spelling of 102132203212002 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred three million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 151 211 302 422 453 633 906 1266 12497 24994 31861 37491 42751 63722 74982 85502 95583 128253 191166 256506 1887047 2636867 3774094 5273734 5661141 6455401 7910601 9020461 11322282 12910802 15821202 18040922 19366203 27061383 38732406 54122766 398166917 534259247 796333834 1068518494 1194500751 1362089611 1602777741 2389001502 2724179222 3205555482 4086268833 8172537666 80673146297 112728701117 161346292594 225457402234 242019438891 338186103351 484038877782 676372206702 17022033868667 34044067737334 51066101606001 102132203212002