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20101874128 = 2471710557707
BaseRepresentation
bin10010101110001010…
…100100000111010000
31220212221020000021121
4102232022210013100
5312132034433003
613122404532024
71311100053010
oct225612440720
956787200247
1020101874128
118585a90616
123a900b1014
131b8482649b
14d89a43c40
157c9b90cbd
hex4ae2a41d0

20101874128 has 40 divisors (see below), whose sum is σ = 47129608512. Its totient is φ = 8108318208.

The previous prime is 20101874123. The next prime is 20101874153. The reversal of 20101874128 is 82147810102.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 20101874093 and 20101874102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101874123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5276950 + ... + 5280757.

Almost surely, 220101874128 is an apocalyptic number.

20101874128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20101874128 is an abundant number, since it is smaller than the sum of its proper divisors (27027734384).

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

20101874128 is a wasteful number, since it uses less digits than its factorization.

20101874128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10557739 (or 10557733 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The spelling of 20101874128 in words is "twenty billion, one hundred one million, eight hundred seventy-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 10557707 21115414 42230828 73903949 84461656 147807898 168923312 179481019 295615796 358962038 591231592 717924076 1182463184 1256367133 1435848152 2512734266 2871696304 5025468532 10050937064 20101874128