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100022011111320 = 23351956977098951
BaseRepresentation
bin10110101111100000110000…
…011100010010011110011000
3111010011000021221002211121220
4112233200300130102132120
5101102230034321030240
6552421251053132040
730032231451406404
oct2657406034223630
9433130257084556
10100022011111320
1129963107781971
12b274b2918a020
1343a705c38857c
141a9b13c246104
15b86c06d955d0
hex5af830712798

100022011111320 has 128 divisors (see below), whose sum is σ = 316414099008000. Its totient is φ = 25224309273600.

The previous prime is 100022011111307. The next prime is 100022011111333. The reversal of 100022011111320 is 23111110220001.

It is an interprime number because it is at equal distance from previous prime (100022011111307) and next prime (100022011111333).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100022011111320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37252156 + ... + 39846795.

It is an arithmetic number, because the mean of its divisors is an integer number (2471985148500).

Almost surely, 2100022011111320 is an apocalyptic number.

100022011111320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022011111320 is an abundant number, since it is smaller than the sum of its proper divisors (216392087896680).

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

100022011111320 is a wasteful number, since it uses less digits than its factorization.

100022011111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77099553 (or 77099549 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100022011111320 its reverse (23111110220001), we get a palindrome (123133121331321).

The spelling of 100022011111320 in words is "one hundred trillion, twenty-two billion, eleven million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 569 570 760 1138 1140 1707 2276 2280 2845 3414 4552 5690 6828 8535 10811 11380 13656 17070 21622 22760 32433 34140 43244 54055 64866 68280 86488 108110 129732 162165 216220 259464 324330 432440 648660 1297320 77098951 154197902 231296853 308395804 385494755 462593706 616791608 770989510 925187412 1156484265 1464880069 1541979020 1850374824 2312968530 2929760138 3083958040 4394640207 4625937060 5859520276 7324400345 8789280414 9251874120 11719040552 14648800690 17578560828 21973201035 29297601380 35157121656 43869303119 43946402070 58595202760 87738606238 87892804140 131607909357 175477212476 175785608280 219346515595 263215818714 350954424952 438693031190 526431637428 658039546785 833516759261 877386062380 1052863274856 1316079093570 1667033518522 1754772124760 2500550277783 2632158187140 3334067037044 4167583796305 5001100555566 5264316374280 6668134074088 8335167592610 10002201111132 12502751388915 16670335185220 20004402222264 25005502777830 33340670370440 50011005555660 100022011111320