Search a number
-
+
102120152157 = 3283413933029
BaseRepresentation
bin101111100011011010…
…1011101110001011101
3100202120221002020020200
41133012311131301131
53133120224332112
6114525141134113
710243426654062
oct1370665356135
9322527066220
10102120152157
113a344188871
121795b9ba339
139825b3504a
144d2a874c69
1529ca432cdc
hex17c6d5dc5d

102120152157 has 24 divisors (see below), whose sum is σ = 149324666400. Its totient is φ = 67241573088.

The previous prime is 102120152143. The next prime is 102120152159. The reversal of 102120152157 is 751251021201.

102120152157 is a `hidden beast` number, since 10 + 2 + 120 + 1 + 521 + 5 + 7 = 666.

It is not a de Polignac number, because 102120152157 - 218 = 102119890013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102120152157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120152159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3075319 + ... + 3108347.

It is an arithmetic number, because the mean of its divisors is an integer number (6221861100).

Almost surely, 2102120152157 is an apocalyptic number.

It is an amenable number.

102120152157 is a deficient number, since it is larger than the sum of its proper divisors (47204514243).

102120152157 is a wasteful number, since it uses less digits than its factorization.

102120152157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37257 (or 37254 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 102120152157 its reverse (751251021201), we get a palindrome (853371173358).

The spelling of 102120152157 in words is "one hundred two billion, one hundred twenty million, one hundred fifty-two thousand, one hundred fifty-seven".

Divisors: 1 3 9 83 249 747 4139 12417 33029 37251 99087 297261 343537 1030611 2741407 3091833 8224221 24672663 136707031 410121093 1230363279 11346683573 34040050719 102120152157