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100130223013100 = 22527353652162141
BaseRepresentation
bin10110110001000101100010…
…010111111011110011101100
3111010112100121101220000100222
4112301011202113323303230
5101111013144042404400
6552543104525510512
730043112161402460
oct2661054227736354
9433470541800328
10100130223013100
11299a4a97557355
12b291aa9112438
1343b43162a1797
141aa2485b704a0
15b8993bed6185
hex5b11625fbcec

100130223013100 has 144 divisors (see below), whose sum is σ = 249068613963456. Its totient is φ = 34227308544000.

The previous prime is 100130223013069. The next prime is 100130223013151. The reversal of 100130223013100 is 1310322031001.

It is a super-2 number, since 2×1001302230131002 (a number of 29 digits) contains 22 as substring.

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, 1611308030 + ... + 1611370170.

It is an arithmetic number, because the mean of its divisors is an integer number (1729643152524).

Almost surely, 2100130223013100 is an apocalyptic number.

100130223013100 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 100130223013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124534306981728).

100130223013100 is an abundant number, since it is smaller than the sum of its proper divisors (148938390950356).

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

100130223013100 is a wasteful number, since it uses less digits than its factorization.

100130223013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69036 (or 69029 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100130223013100 its reverse (1310322031001), we get a palindrome (101440545044101).

The spelling of 100130223013100 in words is "one hundred trillion, one hundred thirty billion, two hundred twenty-three million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 353 700 706 1412 1765 2471 3530 4942 6521 7060 8825 9884 12355 13042 17650 24710 26084 32605 35300 45647 49420 61775 62141 65210 91294 123550 124282 130420 163025 182588 228235 247100 248564 310705 326050 434987 456470 621410 652100 869974 912940 1141175 1242820 1553525 1739948 2174935 2282350 2301913 3107050 4349870 4564700 4603826 6214100 8699740 9207652 10874675 11509565 16113391 21749350 21935773 23019130 32226782 43498700 43871546 46038260 57547825 64453564 80566955 87743092 109678865 115095650 153550411 161133910 219357730 230191300 307100822 322267820 402834775 405221461 438715460 548394325 614201644 767752055 805669550 810442922 1096788650 1535504110 1611339100 1620885844 2026107305 2193577300 2836550227 3071008220 3838760275 4052214610 5673100454 7677520550 8104429220 10130536525 11346200908 14182751135 15355041100 20261073050 28365502270 40522146100 56731004540 70913755675 141827511350 143043175733 283655022700 286086351466 572172702932 715215878665 1001302230131 1430431757330 2002604460262 2860863514660 3576079393325 4005208920524 5006511150655 7152158786650 10013022301310 14304317573300 20026044602620 25032555753275 50065111506550 100130223013100