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100204434043340 = 225112101691593297
BaseRepresentation
bin10110110010001010101001…
…101100100011000111001100
3111010210110011022000221202112
4112302022221230203013030
5101113222140103341330
6553041140445443152
730051350200633304
oct2662125154430714
9433713138027675
10100204434043340
1129a23509769800
12b2a435a2704b8
1343bb311c875b3
141aa5cc5b50604
15b8b832154795
hex5b22a9b231cc

100204434043340 has 144 divisors (see below), whose sum is σ = 233926854934752. Its totient is φ = 36024933120000.

The previous prime is 100204434043327. The next prime is 100204434043381. The reversal of 100204434043340 is 43340434402001.

It is a junction number, because it is equal to n+sod(n) for n = 100204434043297 and 100204434043306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168597572 + ... + 169190868.

It is an arithmetic number, because the mean of its divisors is an integer number (1624492048158).

Almost surely, 2100204434043340 is an apocalyptic number.

100204434043340 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 100204434043340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116963427467376).

100204434043340 is an abundant number, since it is smaller than the sum of its proper divisors (133722420891412).

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

100204434043340 is a wasteful number, since it uses less digits than its factorization.

100204434043340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594120 (or 594107 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 100204434043340 its reverse (43340434402001), we get a palindrome (143544868445341).

The spelling of 100204434043340 in words is "one hundred trillion, two hundred four billion, four hundred thirty-four million, forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 691 1010 1111 1210 1382 2020 2222 2420 2764 3455 4444 5555 6910 7601 11110 12221 13820 15202 22220 24442 30404 38005 48884 61105 69791 76010 83611 122210 139582 152020 167222 244420 279164 334444 348955 418055 593297 697910 767701 836110 1186594 1395820 1535402 1672220 2373188 2966485 3070804 3838505 5932970 6526267 7677010 8444711 11865940 13052534 15354020 16889422 26105068 32631335 33778844 42223555 59922997 65262670 71788937 84447110 119845994 130525340 143577874 168894220 239691988 287155748 299614985 358944685 409968227 599229970 659152967 717889370 819936454 1198459940 1318305934 1435778740 1639872908 2049841135 2636611868 3295764835 4099682270 4509650497 6591529670 7250682637 8199364540 9019300994 13183059340 14501365274 18038601988 22548252485 29002730548 36253413185 41406790927 45096504970 49606155467 72506826370 82813581854 90193009940 99212310934 145013652740 165627163708 198424621868 207033954635 248030777335 414067909270 455474700197 496061554670 828135818540 910949400394 992123109340 1821898800788 2277373500985 4554747001970 5010221702167 9109494003940 10020443404334 20040886808668 25051108510835 50102217021670 100204434043340