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100055224061070 = 235231673917221677
BaseRepresentation
bin10110101111111111101100…
…000101101000110010001110
3111010021012000121010111110220
4112233333230011220302032
5101103301044324423240
6552444422502012210
730034515504001605
oct2657775405506216
9433235017114426
10100055224061070
1129976200603673
12b27b458117066
1343aa2232a4565
141a9c9ad28aa3c
15b879ecac95d0
hex5affec168c8e

100055224061070 has 128 divisors (see below), whose sum is σ = 252139011618816. Its totient is φ = 25361919238656.

The previous prime is 100055224061053. The next prime is 100055224061081. The reversal of 100055224061070 is 70160422550001.

It is a super-2 number, since 2×1000552240610702 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451245072 + ... + 451466748.

It is an arithmetic number, because the mean of its divisors is an integer number (1969836028272).

Almost surely, 2100055224061070 is an apocalyptic number.

100055224061070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100055224061070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126069505809408).

100055224061070 is an abundant number, since it is smaller than the sum of its proper divisors (152083787557746).

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

100055224061070 is a wasteful number, since it uses less digits than its factorization.

100055224061070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225794.

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 100055224061070 in words is "one hundred trillion, fifty-five billion, two hundred twenty-four million, sixty-one thousand, seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 167 230 334 345 501 690 835 1002 1670 2505 3841 3917 5010 7682 7834 11523 11751 19205 19585 23046 23502 38410 39170 57615 58755 90091 115230 117510 180182 221677 270273 443354 450455 540546 654139 665031 900910 1108385 1308278 1330062 1351365 1962417 2216770 2702730 3270695 3325155 3924834 5098571 6541390 6650310 9812085 10197142 15045197 15295713 19624170 25492855 30090394 30591426 37020059 45135591 50985710 74040118 75225985 76478565 90271182 111060177 150451970 152957130 185100295 222120354 225677955 370200590 451355910 555300885 851461357 868308809 1110601770 1702922714 1736617618 2554384071 2604926427 4257306785 4341544045 5108768142 5209852854 8514613570 8683088090 12771920355 13024632135 19971102607 25543840710 26049264270 39942205214 59913307821 99855513035 119826615642 145007571103 199711026070 290015142206 299566539105 435022713309 599133078210 725037855515 870045426618 1450075711030 2175113566545 3335174135369 4350227133090 6670348270738 10005522406107 16675870676845 20011044812214 33351741353690 50027612030535 100055224061070