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100261020 = 223511711427
BaseRepresentation
bin1011111100111…
…01110010011100
320222122210021010
411332131302130
5201131323040
613540535220
72325130116
oct576356234
9228583233
10100261020
115165a652
12296b1510
1317a05562
14d45c3b6
158c06e80
hex5f9dc9c

100261020 has 48 divisors (see below), whose sum is σ = 281167488. Its totient is φ = 26694720.

The previous prime is 100260973. The next prime is 100261111. The reversal of 100261020 is 20162001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100260987 and 100261005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69547 + ... + 70973.

It is an arithmetic number, because the mean of its divisors is an integer number (5857656).

Almost surely, 2100261020 is an apocalyptic number.

100261020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100261020 is an abundant number, since it is smaller than the sum of its proper divisors (180906468).

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

100261020 is a wasteful number, since it uses less digits than its factorization.

100261020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100261020 is about 10013.0424946666. The cubic root of 100261020 is about 464.5623816667.

The spelling of 100261020 in words is "one hundred million, two hundred sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1171 1427 2342 2854 3513 4281 4684 5708 5855 7026 7135 8562 11710 14052 14270 17124 17565 21405 23420 28540 35130 42810 70260 85620 1671017 3342034 5013051 6684068 8355085 10026102 16710170 20052204 25065255 33420340 50130510 100261020