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130221421098952 = 231719317963204151
BaseRepresentation
bin11101100110111110001001…
…100010111111011111001000
3122002002001020201212112210111
4131212332021202333133020
5114032021432300131302
61140542521152324104
736300121132042141
oct3546761142773710
9562061221775714
10130221421098952
113854665a388097
121273194a543634
135787a9a807131
142422a711aaac8
15100c5583ea0d7
hex766f898bf7c8

130221421098952 has 128 divisors (see below), whose sum is σ = 280949736038400. Its totient is φ = 56175285888000.

The previous prime is 130221421098919. The next prime is 130221421098953. The reversal of 130221421098952 is 259890124122031.

130221421098952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1302214210989522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130221421098896 and 130221421098905.

It is not an unprimeable number, because it can be changed into a prime (130221421098953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637766077 + ... + 637970227.

It is an arithmetic number, because the mean of its divisors is an integer number (2194919812800).

Almost surely, 2130221421098952 is an apocalyptic number.

It is an amenable number.

130221421098952 is an abundant number, since it is smaller than the sum of its proper divisors (150728314939448).

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

130221421098952 is a wasteful number, since it uses less digits than its factorization.

130221421098952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212187 (or 212183 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 130221421098952 in words is "one hundred thirty trillion, two hundred twenty-one billion, four hundred twenty-one million, ninety-eight thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 17 19 31 34 38 62 68 76 124 136 152 248 323 527 589 646 1054 1178 1292 2108 2356 2584 4216 4712 7963 10013 15926 20026 31852 40052 63704 80104 135371 151297 204151 246853 270742 302594 408302 493706 541484 605188 816604 987412 1082968 1210376 1633208 1974824 2572049 3470567 3878869 4196501 4690207 5144098 6328681 6941134 7757738 8393002 9380414 10288196 12657362 13882268 15515476 16786004 18760828 20576392 25314724 27764536 31030952 33572008 37521656 50629448 65940773 79733519 107587577 120244939 131881546 159467038 215175154 240489878 263763092 318934076 430350308 480979756 527526184 637868152 860700616 961959512 1625654413 2044163963 3251308826 4088327926 6502617652 8176655852 13005235304 16353311704 27636125021 30887433847 50395286803 55272250042 61774867694 100790573606 110544500084 123549735388 201581147212 221089000168 247099470776 403162294424 525086375399 856719875651 957510449257 1050172750798 1713439751302 1915020898514 2100345501596 3426879502604 3830041797028 4200691003192 6853759005208 7660083594056 16277677637369 32555355274738 65110710549476 130221421098952