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122355131122140 = 22357357181579877
BaseRepresentation
bin11011110100100000000110…
…001000001000000111011100
3121001020000222110111002121020
4123310200012020020013130
5112014131302031402030
61112121100554204140
734525603132341240
oct3364400610100734
9531200873432536
10122355131122140
1135a935797aa354
12118812b1a23650
13533706860a6b7
14223003ca26420
15e22b0ed8e510
hex6f48062081dc

122355131122140 has 96 divisors (see below), whose sum is σ = 391646067746304. Its totient is φ = 27959055102720.

The previous prime is 122355131122069. The next prime is 122355131122177. The reversal of 122355131122140 is 41221131553221.

It is a super-2 number, since 2×1223551311221402 (a number of 29 digits) contains 22 as substring.

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, 39290119 + ... + 42289758.

It is an arithmetic number, because the mean of its divisors is an integer number (4079646539024).

Almost surely, 2122355131122140 is an apocalyptic number.

122355131122140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122355131122140 is an abundant number, since it is smaller than the sum of its proper divisors (269290936624164).

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

122355131122140 is a wasteful number, since it uses less digits than its factorization.

122355131122140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81583467 (or 81583465 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 122355131122140 its reverse (41221131553221), we get a palindrome (163576262675361).

The spelling of 122355131122140 in words is "one hundred twenty-two trillion, three hundred fifty-five billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 3571 7142 10713 14284 17855 21426 24997 35710 42852 49994 53565 71420 74991 99988 107130 124985 149982 214260 249970 299964 374955 499940 749910 1499820 81579877 163159754 244739631 326319508 407899385 489479262 571059139 815798770 978958524 1142118278 1223698155 1631597540 1713177417 2284236556 2447396310 2855295695 3426354834 4894792620 5710591390 6852709668 8565887085 11421182780 17131774170 34263548340 291321740767 582643481534 873965222301 1165286963068 1456608703835 1747930444602 2039252185369 2913217407670 3495860889204 4078504370738 4369826111505 5826434815340 6117756556107 8157008741476 8739652223010 10196260926845 12235513112214 17479304446020 20392521853690 24471026224428 30588782780535 40785043707380 61177565561070 122355131122140