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100021013430 = 235131371872001
BaseRepresentation
bin101110100100110110…
…1111000101110110110
3100120011122011221020220
41131021231320232312
53114320334412210
6113540553235210
710140420405102
oct1351155705666
9316148157226
10100021013430
1139467288878
1217474a02b06
13957cc89220
144babb70902
152905edac70
hex1749b78bb6

100021013430 has 64 divisors (see below), whose sum is σ = 260402966208. Its totient is φ = 24440832000.

The previous prime is 100021013419. The next prime is 100021013441. The reversal of 100021013430 is 34310120001.

100021013430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100021013419) and next prime (100021013441).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882571 + ... + 989430.

It is an arithmetic number, because the mean of its divisors is an integer number (4068796347).

Almost surely, 2100021013430 is an apocalyptic number.

100021013430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100021013430 is an abundant number, since it is smaller than the sum of its proper divisors (160381952778).

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

100021013430 is a wasteful number, since it uses less digits than its factorization.

100021013430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872161.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100021013430 its reverse (34310120001), we get a palindrome (134331133431).

The spelling of 100021013430 in words is "one hundred billion, twenty-one million, thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 137 195 274 390 411 685 822 1370 1781 2055 3562 4110 5343 8905 10686 17810 26715 53430 1872001 3744002 5616003 9360005 11232006 18720010 24336013 28080015 48672026 56160030 73008039 121680065 146016078 243360130 256464137 365040195 512928274 730080390 769392411 1282320685 1538784822 2564641370 3334033781 3846962055 6668067562 7693924110 10002101343 16670168905 20004202686 33340337810 50010506715 100021013430