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100420511420 = 22524130676793
BaseRepresentation
bin101110110000110000…
…1110110011010111100
3100121012110220112110202
41131201201312122330
53121130122331140
6114044344023032
710153341156215
oct1354141663274
9317173815422
10100420511420
11396518405a9
1217566761a78
139614983178
144c08c4440c
15292b100915
hex17618766bc

100420511420 has 48 divisors (see below), whose sum is σ = 211858334688. Its totient is φ = 39982602240.

The previous prime is 100420511413. The next prime is 100420511423. The reversal of 100420511420 is 24115024001.

It is a happy number.

It is a super-3 number, since 3×1004205114203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100420511392 and 100420511401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100420511423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14779544 + ... + 14786336.

It is an arithmetic number, because the mean of its divisors is an integer number (4413715306).

Almost surely, 2100420511420 is an apocalyptic number.

100420511420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100420511420 is an abundant number, since it is smaller than the sum of its proper divisors (111437823268).

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

100420511420 is a wasteful number, since it uses less digits than its factorization.

100420511420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110 (or 10108 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 100420511420 its reverse (24115024001), we get a palindrome (124535535421).

The spelling of 100420511420 in words is "one hundred billion, four hundred twenty million, five hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 241 482 964 1205 2410 3067 4820 6134 6793 12268 13586 15335 27172 30670 33965 61340 67930 135860 739147 1478294 1637113 2956588 3274226 3695735 6548452 7391470 8185565 14782940 16371130 20834131 32742260 41668262 83336524 104170655 208341310 416682620 5021025571 10042051142 20084102284 25105127855 50210255710 100420511420