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101032202212230 = 235233718712115121
BaseRepresentation
bin10110111110001101100100…
…100001100001001110000110
3111020201120202212212211101210
4112332031210201201032012
5101220302422231242410
6554513315234232250
730165223104162042
oct2676154441411606
9436646685784353
10101032202212230
112a212575276803
12b3b8874125686
13444b3acb01123
141ad3dadd59022
15ba312d167220
hex5be364861386

101032202212230 has 128 divisors (see below), whose sum is σ = 259997158526976. Its totient is φ = 25060618598400.

The previous prime is 101032202212217. The next prime is 101032202212283. The reversal of 101032202212230 is 32212202230101.

It is a junction number, because it is equal to n+sod(n) for n = 101032202212197 and 101032202212206.

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, 46709070 + ... + 48824190.

It is an arithmetic number, because the mean of its divisors is an integer number (2031227800992).

Almost surely, 2101032202212230 is an apocalyptic number.

101032202212230 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 101032202212230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129998579263488).

101032202212230 is an abundant number, since it is smaller than the sum of its proper divisors (158964956314746).

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

101032202212230 is a wasteful number, since it uses less digits than its factorization.

101032202212230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117062.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101032202212230 its reverse (32212202230101), we get a palindrome (133244404442331).

The spelling of 101032202212230 in words is "one hundred one trillion, thirty-two billion, two hundred two million, two hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 185 222 230 345 370 555 690 851 1110 1702 1871 2553 3742 4255 5106 5613 8510 9355 11226 12765 18710 25530 28065 43033 56130 69227 86066 129099 138454 207681 215165 258198 346135 415362 430330 645495 692270 1038405 1290990 1592221 2076810 2115121 3184442 4230242 4776663 6345363 7961105 9553326 10575605 12690726 15922210 21151210 23883315 31726815 47766630 48647783 63453630 78259477 97295566 145943349 156518954 234778431 243238915 291886698 391297385 469556862 486477830 729716745 782594770 1173892155 1459433490 1799967971 2347784310 3599935942 3957391391 5399903913 7914782782 8999839855 10799807826 11872174173 17999679710 19786956955 23744348346 26999519565 39573913910 53999039130 59360870865 91020001993 118721741730 146423481467 182040003986 273060005979 292846962934 439270444401 455100009965 546120011958 732117407335 878540888802 910200019930 1365300029895 1464234814670 2196352222005 2730600059790 3367740073741 4392704444010 6735480147482 10103220221223 16838700368705 20206440442446 33677400737410 50516101106115 101032202212230