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100401323204 = 2273136784017
BaseRepresentation
bin101110110000001100…
…0101001110011000100
3100121011010210200012002
41131200120221303010
53121110214320304
6114042420444432
710153016111000
oct1354030516304
9317133720162
10100401323204
1139641a25176
1217560249718
1396109c53b0
144c0648b700
1529295b031e
hex1760629cc4

100401323204 has 96 divisors (see below), whose sum is σ = 223958380800. Its totient is φ = 39125915136.

The previous prime is 100401323203. The next prime is 100401323219. The reversal of 100401323204 is 402323104001.

It is a super-2 number, since 2×1004013232042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100401323203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153004 + ... + 1237020.

It is an arithmetic number, because the mean of its divisors is an integer number (2332899800).

Almost surely, 2100401323204 is an apocalyptic number.

100401323204 is a gapful number since it is divisible by the number (14) 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 100401323204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111979190400).

100401323204 is an abundant number, since it is smaller than the sum of its proper divisors (123557057596).

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

100401323204 is a wasteful number, since it uses less digits than its factorization.

100401323204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84122 (or 84106 counting only the distinct ones).

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

Adding to 100401323204 its reverse (402323104001), we get a palindrome (502724427205).

The spelling of 100401323204 in words is "one hundred billion, four hundred one million, three hundred twenty-three thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 67 91 98 134 182 196 268 343 364 469 637 686 871 938 1274 1372 1742 1876 2548 3283 3484 4459 6097 6566 8918 12194 13132 17836 22981 24388 42679 45962 84017 85358 91924 168034 170716 298753 336068 588119 597506 1092221 1176238 1195012 2184442 2352476 4116833 4368884 5629139 7645547 8233666 11258278 15291094 16467332 22516556 28817831 30582188 39403973 53518829 57635662 73178807 78807946 107037658 115271324 146357614 157615892 214075316 275827811 292715228 374631803 512251649 551655622 749263606 1024503298 1103311244 1498527212 1930794677 2049006596 3585761543 3861589354 7171523086 7723178708 14343046172 25100330801 50200661602 100401323204