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122100211132030 = 25312332577578689
BaseRepresentation
bin11011110000110010101011…
…101101100010011001111110
3121000022122222122112211212001
4123300302223231202121332
5112000442213022211110
61111404021310132514
734501310025231055
oct3360625355423176
9530278878484761
10122100211132030
11359a545504677a
121183ba097b113a
135319001154971
142221978a1d39c
15e1b19017563a
hex6f0cabb6267e

122100211132030 has 128 divisors (see below), whose sum is σ = 229058825149440. Its totient is φ = 46811310981120.

The previous prime is 122100211131991. The next prime is 122100211132033. The reversal of 122100211132030 is 30231112001221.

It is a junction number, because it is equal to n+sod(n) for n = 122100211131989 and 122100211132007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100211132033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14052269926 + ... + 14052278614.

It is an arithmetic number, because the mean of its divisors is an integer number (1789522071480).

Almost surely, 2122100211132030 is an apocalyptic number.

122100211132030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122100211132030 is a deficient number, since it is larger than the sum of its proper divisors (106958614017410).

122100211132030 is a wasteful number, since it uses less digits than its factorization.

122100211132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122100211132030 its reverse (30231112001221), we get a palindrome (152331323133251).

The spelling of 122100211132030 in words is "one hundred twenty-two trillion, one hundred billion, two hundred eleven million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 5 10 31 62 155 233 257 310 466 514 757 1165 1285 1514 2330 2570 3785 7223 7570 7967 8689 14446 15934 17378 23467 36115 39835 43445 46934 59881 72230 79670 86890 117335 119762 176381 194549 234670 269359 299405 352762 389098 538718 598810 881905 972745 1346795 1763810 1856311 1945490 2024537 2233073 2693590 3712622 4049074 4466146 5467811 6031019 6577573 9281555 10122685 10935622 11165365 12062038 13155146 18563110 20245370 22330730 27339055 30155095 32887865 45329917 54678110 60310190 62760647 65775730 69225263 90659834 125521294 138450526 203904763 226649585 313803235 346126315 407809526 453299170 520306009 627606470 692252630 1019523815 1040612018 1405227427 1532574509 1690436261 2039047630 2601530045 2810454854 3065149018 3380872522 5203060090 7026137135 7662872545 8452181305 14052274270 15325745090 16129486279 16904362610 32258972558 47509809779 52403524091 80647431395 95019619558 104807048182 161294862790 237549048895 262017620455 393871648813 475098097790 524035240910 787743297626 1969358244065 3938716488130 12210021113203 24420042226406 61050105566015 122100211132030