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122146277020242 = 23194344357198507
BaseRepresentation
bin11011110001011101100101…
…011100111101001001010010
3121000111001220001122102122220
4123301131211130331021102
5112002221033404121432
61111441120334041510
734504530416640126
oct3361354534751122
9530431801572586
10122146277020242
1135a12a44038372
1211848925049296
135320462b32097
142223ca8a6b586
15e1c48945c72c
hex6f176573d252

122146277020242 has 128 divisors (see below), whose sum is σ = 264188810096640. Its totient is φ = 37524213679680.

The previous prime is 122146277020111. The next prime is 122146277020307. The reversal of 122146277020242 is 242020772641221.

It is a happy number.

122146277020242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122146277020194 and 122146277020203.

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, 1239926353 + ... + 1240024859.

It is an arithmetic number, because the mean of its divisors is an integer number (2063975078880).

Almost surely, 2122146277020242 is an apocalyptic number.

122146277020242 is an abundant number, since it is smaller than the sum of its proper divisors (142042533076398).

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

122146277020242 is a wasteful number, since it uses less digits than its factorization.

122146277020242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99588.

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 122146277020242 in words is "one hundred twenty-two trillion, one hundred forty-six billion, two hundred seventy-seven million, twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 19 38 43 57 86 114 129 258 443 571 817 886 1142 1329 1634 1713 2451 2658 3426 4902 8417 10849 16834 19049 21698 24553 25251 32547 38098 49106 50502 57147 65094 73659 98507 114294 147318 197014 252953 295521 361931 466507 505906 591042 723862 758859 933014 1085793 1399521 1517718 1871633 2171586 2799042 3743266 4235801 4806107 5614899 8471602 9612214 10876979 11229798 12707403 14418321 21753958 25414806 28836642 32630937 43638601 56247497 65261874 80480219 87277202 112494994 130915803 160960438 168742491 206662601 241440657 261831606 337484982 413325202 482881314 619987803 829133419 1068702443 1239975606 1658266838 1876459843 2137404886 2418642371 2487400257 3206107329 3752919686 4837284742 4974800514 5629379529 6412214658 7255927113 11258759058 14511854226 24917641171 35652737017 45954205049 49835282342 71305474034 74752923513 91908410098 106958211051 137862615147 149505847026 213916422102 275725230294 473435182249 946870364498 1071458570353 1420305546747 2142917140706 2840611093494 3214375711059 6428751422118 20357712836707 40715425673414 61073138510121 122146277020242