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100431212244 = 223111923167987
BaseRepresentation
bin101110110001000101…
…0101010111011010100
3100121020020001012020120
41131202022222323110
53121140342242434
6114045405231540
710153531135026
oct1354212527324
9317206035216
10100431212244
113965788a260
121756a2625b0
139616c5ba0c
144c0a42c016
15292c016349
hex17622aaed4

100431212244 has 144 divisors (see below), whose sum is σ = 278513657856. Its totient is φ = 27901454400.

The previous prime is 100431212237. The next prime is 100431212251. The reversal of 100431212244 is 442212134001.

It is an interprime number because it is at equal distance from previous prime (100431212237) and next prime (100431212251).

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 47 ways as a sum of consecutive naturals, for example, 1443219 + ... + 1511205.

It is an arithmetic number, because the mean of its divisors is an integer number (1934122624).

Almost surely, 2100431212244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100431212244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139256828928).

100431212244 is an abundant number, since it is smaller than the sum of its proper divisors (178082445612).

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

100431212244 is a wasteful number, since it uses less digits than its factorization.

100431212244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68074 (or 68053 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100431212244 its reverse (442212134001), we get a palindrome (542643346245).

The spelling of 100431212244 in words is "one hundred billion, four hundred thirty-one million, two hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 31 33 38 44 57 62 66 76 93 114 124 132 186 209 228 341 361 372 418 589 627 682 722 836 1023 1083 1178 1254 1364 1444 1767 2046 2166 2356 2508 3534 3971 4092 4332 6479 7068 7942 11191 11913 12958 15884 19437 22382 23826 25916 33573 38874 44764 47652 67146 67987 77748 123101 134292 135974 203961 246202 271948 369303 407922 492404 738606 747857 815844 1291753 1477212 1495714 2107597 2243571 2583506 2991428 3875259 4215194 4487142 5167012 6322791 7750518 8430388 8974284 12645582 14209283 15501036 23183567 24543307 25291164 28418566 40044343 42627849 46367134 49086614 56837132 69550701 73629921 80088686 85255698 92734268 98173228 120133029 139101402 147259842 160177372 170511396 240266058 269976377 278202804 294519684 440487773 480532116 539952754 760842517 809929131 880975546 1079905508 1321463319 1521685034 1619858262 1761951092 2282527551 2642926638 3043370068 3239716524 4565055102 5285853276 8369267687 9130110204 16738535374 25107803061 33477070748 50215606122 100431212244