Search a number
-
+
100020102 = 23713374951
BaseRepresentation
bin1011111011000…
…10111110000110
320222012112210020
411331202332012
5201101120402
613531440010
72323104540
oct575427606
9228175706
10100020102
1151505646
12295b6006
131794c9c0
14d3d8690
158baa8bc
hex5f62f86

100020102 has 64 divisors (see below), whose sum is σ = 252908544. Its totient is φ = 25660800.

The previous prime is 100020023. The next prime is 100020103. The reversal of 100020102 is 201020001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020103) 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, 17727 + ... + 22677.

It is an arithmetic number, because the mean of its divisors is an integer number (3951696).

Almost surely, 2100020102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100020102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126454272).

100020102 is an abundant number, since it is smaller than the sum of its proper divisors (152888442).

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

100020102 is a wasteful number, since it uses less digits than its factorization.

100020102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100020102 is about 10001.0050494938. The cubic root of 100020102 is about 464.1899830171.

Adding to 100020102 its reverse (201020001), we get a palindrome (301040103).

The spelling of 100020102 in words is "one hundred million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 4951 6734 9902 10101 14853 20202 29706 34657 64363 69314 103971 128726 183187 193089 207942 366374 386178 450541 549561 901082 1099122 1282309 1351623 2381431 2564618 2703246 3846927 4762862 7144293 7693854 14288586 16670017 33340034 50010051 100020102