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100103012244 = 223341158314281
BaseRepresentation
bin101110100111010011…
…0101011111110010100
3100120101100110220111000
41131032212223332110
53120002332342434
6113553042543300
710142434364514
oct1351646537624
9316340426430
10100103012244
11394a95a4794
1217498367b30
139593c69331
144bb89d7844
15290d2d6b99
hex174e9abf94

100103012244 has 96 divisors (see below), whose sum is σ = 266042810880. Its totient is φ = 32530982400.

The previous prime is 100103012197. The next prime is 100103012257. The reversal of 100103012244 is 442210301001.

It is a super-2 number, since 2×1001030122442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7002384 + ... + 7016664.

It is an arithmetic number, because the mean of its divisors is an integer number (2771279280).

Almost surely, 2100103012244 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 100103012244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133021405440).

100103012244 is an abundant number, since it is smaller than the sum of its proper divisors (165939798636).

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

100103012244 is a wasteful number, since it uses less digits than its factorization.

100103012244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15918 (or 15910 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100103012244 its reverse (442210301001), we get a palindrome (542313313245).

The spelling of 100103012244 in words is "one hundred billion, one hundred three million, twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 1583 2214 3166 4428 4749 6332 9498 14247 14281 18996 28494 28562 42741 42843 56988 57124 64903 85482 85686 128529 129806 170964 171372 194709 257058 259612 385587 389418 514116 584127 585521 771174 778836 1168254 1171042 1542348 1752381 1756563 2336508 2342084 3504762 3513126 5269689 7009524 7026252 10539378 15809067 21078756 22606823 31618134 45213646 63236268 67820469 90427292 135640938 203461407 271281876 406922814 610384221 813845628 926879743 1220768442 1853759486 2441536884 2780639229 3707518972 5561278458 8341917687 11122556916 16683835374 25025753061 33367670748 50051506122 100103012244