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101330103332130 = 235194138231134163
BaseRepresentation
bin10111000010100011000000…
…110100000110110100100010
3111021210001201010101200220220
4113002203000310012310202
5101240143022423112010
6555302223513143510
730225600265003431
oct2702430064066442
9437701633350826
10101330103332130
112a31794572a352
12b4465526bab96
134470506b4483a
141b04590423118
15baac66430970
hex5c28c0d06d22

101330103332130 has 128 divisors (see below), whose sum is σ = 262304368865280. Its totient is φ = 24968258864640.

The previous prime is 101330103332063. The next prime is 101330103332141. The reversal of 101330103332130 is 31233301033101.

It is a self number, because there is not a number n which added to its sum of digits gives 101330103332130.

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, 88776429 + ... + 89910591.

It is an arithmetic number, because the mean of its divisors is an integer number (2049252881760).

Almost surely, 2101330103332130 is an apocalyptic number.

101330103332130 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 101330103332130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131152184432640).

101330103332130 is an abundant number, since it is smaller than the sum of its proper divisors (160974265533150).

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

101330103332130 is a wasteful number, since it uses less digits than its factorization.

101330103332130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138056.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 101330103332130 its reverse (31233301033101), we get a palindrome (132563404365231).

The spelling of 101330103332130 in words is "one hundred one trillion, three hundred thirty billion, one hundred three million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 41 57 82 95 114 123 190 205 246 285 410 570 615 779 1230 1558 2337 3823 3895 4674 7646 7790 11469 11685 19115 22938 23370 38230 57345 72637 114690 145274 156743 217911 313486 363185 435822 470229 726370 783715 940458 1089555 1134163 1567430 2179110 2268326 2351145 2978117 3402489 4702290 5670815 5956234 6804978 8934351 11341630 14890585 17012445 17868702 21549097 29781170 34024890 43098194 44671755 46500683 64647291 89343510 93001366 107745485 129294582 139502049 215490970 232503415 279004098 323236455 465006830 646472910 697510245 883512977 1395020490 1767025954 2650538931 4335905149 4417564885 5301077862 8671810298 8835129770 13007715447 13252694655 21679525745 26015430894 26505389310 43359051490 65038577235 82382197831 130077154470 164764395662 177772111109 247146593493 355544222218 411910989155 494293186986 533316333327 823821978310 888860555545 1066632666654 1235732967465 1777721111090 2471465934930 2666581666635 3377670111071 5333163333270 6755340222142 10133010333213 16888350555355 20266020666426 33776701110710 50665051666065 101330103332130