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100113212444 = 227611932691129
BaseRepresentation
bin101110100111100110…
…1100110010000011100
3100120102001200010112012
41131033031212100130
53120012440244234
6113554045330352
710142620156640
oct1351715462034
9316361603465
10100113212444
1139504331303
121749b8669b8
1395960cb05b
144bba0d0c20
15290e14e0ce
hex174f36641c

100113212444 has 96 divisors (see below), whose sum is σ = 205505596800. Its totient is φ = 41790504960.

The previous prime is 100113212401. The next prime is 100113212503. The reversal of 100113212444 is 444212311001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88673672 + ... + 88674800.

It is an arithmetic number, because the mean of its divisors is an integer number (2140683300).

Almost surely, 2100113212444 is an apocalyptic number.

100113212444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100113212444 is an abundant number, since it is smaller than the sum of its proper divisors (105392384356).

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

100113212444 is a wasteful number, since it uses less digits than its factorization.

100113212444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 100113212444 its reverse (444212311001), we get a palindrome (544325523445).

The spelling of 100113212444 in words is "one hundred billion, one hundred thirteen million, two hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 61 122 193 244 269 386 427 538 772 854 1076 1129 1351 1708 1883 2258 2702 3766 4516 5404 7532 7903 11773 15806 16409 23546 31612 32818 47092 51917 65636 68869 82411 103834 114863 137738 164822 207668 217897 229726 275476 303701 329644 363419 435794 459452 482083 607402 726838 871588 964166 1214804 1453676 1525279 1928332 2125907 3050558 3166937 4251814 6101116 6333874 8503628 12667748 13291717 18525761 22168559 26583434 37051522 44337118 53166868 58614293 74103044 88674236 93042019 117228586 129680327 186084038 234457172 259360654 372168076 410300051 518721308 820600102 1641200204 3575471873 7150943746 14301887492 25028303111 50056606222 100113212444