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100434120320 = 275202777419
BaseRepresentation
bin101110110001001010…
…1110000111010000000
3100121020102111221101002
41131202111300322000
53121142113322240
6114045551431132
710153564636262
oct1354225607200
9317212457332
10100434120320
1139659496126
121756b2254a8
139617739581
144c0a987b32
15292c3dcd15
hex1762570e80

100434120320 has 64 divisors (see below), whose sum is σ = 240221872800. Its totient is φ = 40153310208.

The previous prime is 100434120317. The next prime is 100434120337. The reversal of 100434120320 is 23021434001.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 100434120292 and 100434120301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1258571 + ... + 1335989.

Almost surely, 2100434120320 is an apocalyptic number.

100434120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100434120320 is an abundant number, since it is smaller than the sum of its proper divisors (139787752480).

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

100434120320 is an equidigital number, since it uses as much as digits as its factorization.

100434120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79465 (or 79453 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100434120320 its reverse (23021434001), we get a palindrome (123455554321).

The spelling of 100434120320 in words is "one hundred billion, four hundred thirty-four million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2027 4054 8108 10135 16216 20270 32432 40540 64864 77419 81080 129728 154838 162160 259456 309676 324320 387095 619352 648640 774190 1238704 1297280 1548380 2477408 3096760 4954816 6193520 9909632 12387040 24774080 49548160 156928313 313856626 627713252 784641565 1255426504 1569283130 2510853008 3138566260 5021706016 6277132520 10043412032 12554265040 20086824064 25108530080 50217060160 100434120320