Search a number
-
+
102120102302120 = 2357509716531731
BaseRepresentation
bin10111001110000010110000…
…011011000001000110101000
3111101120120211111211110212122
4113032002300123001012220
5101341113432142131440
61001105154412530412
730336635222313530
oct2716026033010650
9441516744743778
10102120102302120
112a5a198a536191
12b553687780a08
1344c9b65b32c76
141b308d44384c0
15bc15a170e7b5
hex5ce0b06c11a8

102120102302120 has 64 divisors (see below), whose sum is σ = 263110451990400. Its totient is φ = 34943819408640.

The previous prime is 102120102302041. The next prime is 102120102302143. The reversal of 102120102302120 is 21203201021201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358123346 + ... + 358408385.

It is an arithmetic number, because the mean of its divisors is an integer number (4111100812350).

Almost surely, 2102120102302120 is an apocalyptic number.

102120102302120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120102302120 is an abundant number, since it is smaller than the sum of its proper divisors (160990349688280).

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

102120102302120 is a wasteful number, since it uses less digits than its factorization.

102120102302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716532258 (or 716532254 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102120102302120 its reverse (21203201021201), we get a palindrome (123323303323321).

The spelling of 102120102302120 in words is "one hundred two trillion, one hundred twenty billion, one hundred two million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 509 1018 2036 2545 3563 4072 5090 7126 10180 14252 17815 20360 28504 35630 71260 142520 716531731 1433063462 2866126924 3582658655 5015722117 5732253848 7165317310 10031444234 14330634620 20062888468 25078610585 28661269240 40125776936 50157221170 100314442340 200628884680 364714651079 729429302158 1458858604316 1823573255395 2553002557553 2917717208632 3647146510790 5106005115106 7294293021580 10212010230212 12765012787765 14588586043160 20424020460424 25530025575530 51060051151060 102120102302120