Search a number
-
+
102102211992 = 233112689143827
BaseRepresentation
bin101111100010111000…
…1000001110110011000
3100202112200022202222010
41133011301001312120
53133101131240432
6114523300425520
710243121324304
oct1370561016630
9322480282863
10102102211992
113a335045090
12179559a82a0
1398221c3371
144d28324d04
1529c8a8c3cc
hex17c5c41d98

102102211992 has 64 divisors (see below), whose sum is σ = 278566070400. Its totient is φ = 30928343040.

The previous prime is 102102211979. The next prime is 102102211993. The reversal of 102102211992 is 299112201201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102211993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637983 + ... + 781809.

It is an arithmetic number, because the mean of its divisors is an integer number (4352594850).

Almost surely, 2102102211992 is an apocalyptic number.

102102211992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102102211992 is an abundant number, since it is smaller than the sum of its proper divisors (176463858408).

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

102102211992 is a wasteful number, since it uses less digits than its factorization.

102102211992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146536 (or 146532 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 102102211992 in words is "one hundred two billion, one hundred two million, two hundred eleven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2689 5378 8067 10756 16134 21512 29579 32268 59158 64536 88737 118316 143827 177474 236632 287654 354948 431481 575308 709896 862962 1150616 1582097 1725924 3164194 3451848 4746291 6328388 9492582 12656776 18985164 37970328 386750803 773501606 1160252409 1547003212 2320504818 3094006424 4254258833 4641009636 8508517666 9282019272 12762776499 17017035332 25525552998 34034070664 51051105996 102102211992