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121220113231100 = 2252132323317399933
BaseRepresentation
bin11011100011111111000001…
…110010011110110011111100
3120220012112022010002011001002
4123203333001302132303330
5111342032242441343400
61105451430133505432
734350602260424012
oct3343770162366374
9526175263064032
10121220113231100
1135696185798544
121171932a7a2278
1352840139b6250
1421d11289168b2
15e0332eec6ed5
hex6e3fc1c9ecfc

121220113231100 has 144 divisors (see below), whose sum is σ = 296867373147072. Its totient is φ = 42628441405440.

The previous prime is 121220113231039. The next prime is 121220113231171. The reversal of 121220113231100 is 1132311022121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1733267 + ... + 15666666.

It is an arithmetic number, because the mean of its divisors is an integer number (2061578980188).

Almost surely, 2121220113231100 is an apocalyptic number.

121220113231100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121220113231100 is an abundant number, since it is smaller than the sum of its proper divisors (175647259915972).

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

121220113231100 is a wasteful number, since it uses less digits than its factorization.

121220113231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17400216 (or 17400209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 121220113231100 its reverse (1132311022121), we get a palindrome (122352424253221).

The spelling of 121220113231100 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred thirteen million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 233 260 299 325 460 466 575 598 650 932 1150 1165 1196 1300 1495 2300 2330 2990 3029 4660 5359 5825 5980 6058 7475 10718 11650 12116 14950 15145 21436 23300 26795 29900 30290 53590 60580 69667 75725 107180 133975 139334 151450 267950 278668 302900 348335 535900 696670 1393340 1741675 3483350 6966700 17399933 34799866 69599732 86999665 173999330 226199129 347998660 400198459 434998325 452398258 800396918 869996650 904796516 1130995645 1600793836 1739993300 2000992295 2261991290 4001984590 4054184389 4523982580 5202579967 5654978225 8003969180 8108368778 10004961475 10405159934 11309956450 16216737556 20009922950 20270921945 20810319868 22619912900 26012899835 40019845900 40541843890 52025799670 52704397057 81083687780 93246240947 101354609725 104051599340 105408794114 130064499175 186492481894 202709219450 210817588228 260128998350 263521985285 372984963788 405418438900 466231204735 520257996700 527043970570 932462409470 1054087941140 1212201132311 1317609926425 1864924818940 2331156023675 2424402264622 2635219852850 4662312047350 4848804529244 5270439705700 6061005661555 9324624094700 12122011323110 24244022646220 30305028307775 60610056615550 121220113231100