Search a number
-
+
102002100102 = 23272137378821
BaseRepresentation
bin101111011111111001…
…1001000011110000110
3100202021200221120021100
41132333303020132012
53132400014200402
6114505323000530
710240464355020
oct1367763103606
9322250846240
10102002100102
113a293587591
1217928369146
139807540966
144d18d05010
1529bedb471c
hex17bfcc8786

102002100102 has 48 divisors (see below), whose sum is σ = 252695488032. Its totient is φ = 29129742720.

The previous prime is 102002100049. The next prime is 102002100121. The reversal of 102002100102 is 201001200201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79852 + ... + 458672.

It is an arithmetic number, because the mean of its divisors is an integer number (5264489334).

Almost surely, 2102002100102 is an apocalyptic number.

102002100102 is an abundant number, since it is smaller than the sum of its proper divisors (150693387930).

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

102002100102 is a wasteful number, since it uses less digits than its factorization.

102002100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380973 (or 380970 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102002100102 its reverse (201001200201), we get a palindrome (303003300303).

The spelling of 102002100102 in words is "one hundred two billion, two million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2137 4274 6411 12822 14959 19233 29918 38466 44877 89754 134631 269262 378821 757642 1136463 2272926 2651747 3409389 5303494 6818778 7955241 15910482 23865723 47731446 809540477 1619080954 2428621431 4857242862 5666783339 7285864293 11333566678 14571728586 17000350017 34000700034 51001050051 102002100102