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101423100100 = 225271947162251
BaseRepresentation
bin101111001110101001…
…0011011000011000100
3100200210100110022120211
41132131102123003010
53130203303200400
6114332041005204
710220234061250
oct1363522330304
9320710408524
10101423100100
113a016772293
12177a6483804
1397445b86ca
144ca2067260
152989143dba
hex179d49b0c4

101423100100 has 144 divisors (see below), whose sum is σ = 270402693120. Its totient is φ = 32242320000.

The previous prime is 101423100067. The next prime is 101423100101. The reversal of 101423100100 is 1001324101.

It is not an unprimeable number, because it can be changed into a prime (101423100101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543975 + ... + 706225.

It is an arithmetic number, because the mean of its divisors is an integer number (1877796480).

Almost surely, 2101423100100 is an apocalyptic number.

101423100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101423100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135201346560).

101423100100 is an abundant number, since it is smaller than the sum of its proper divisors (168979593020).

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

101423100100 is a wasteful number, since it uses less digits than its factorization.

101423100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162338 (or 162331 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101423100100 its reverse (1001324101), we get a palindrome (102424424201).

The spelling of 101423100100 in words is "one hundred one billion, four hundred twenty-three million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 47 50 70 76 94 95 100 133 140 175 188 190 235 266 329 350 380 470 475 532 658 665 700 893 940 950 1175 1316 1330 1645 1786 1900 2350 2660 3290 3325 3572 4465 4700 6251 6580 6650 8225 8930 12502 13300 16450 17860 22325 25004 31255 32900 44650 62510 89300 125020 156275 162251 312550 324502 625100 649004 811255 1135757 1622510 2271514 3082769 3245020 4056275 4543028 5678785 6165538 7625797 8112550 11357570 12331076 15251594 15413845 16225100 21579383 22715140 28393925 30503188 30827690 38128985 43158766 53380579 56787850 61655380 76257970 77069225 86317532 106761158 107896915 113575700 144890143 152515940 154138450 190644925 213522316 215793830 266902895 289780286 308276900 381289850 431587660 533805790 539484575 579560572 724450715 762579700 1014231001 1067611580 1078969150 1334514475 1448901430 2028462002 2157938300 2669028950 2897802860 3622253575 4056924004 5071155005 5338057900 7244507150 10142310010 14489014300 20284620020 25355775025 50711550050 101423100100