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130121313102 = 2321137143912343
BaseRepresentation
bin111100100101111010…
…1011010101101001110
3110102212101012120220200
41321023311122231032
54112442024004402
6135435451154330
712254345624604
oct1711365325516
9412771176820
10130121313102
11502030a84a0
12212754459a6
13c36906b331
146425647874
1535b882821c
hex1e4bd5ab4e

130121313102 has 96 divisors (see below), whose sum is σ = 316117002240. Its totient is φ = 38335239360.

The previous prime is 130121313061. The next prime is 130121313109. The reversal of 130121313102 is 201313121031.

130121313102 is a `hidden beast` number, since 1 + 301 + 21 + 31 + 310 + 2 = 666.

130121313102 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 2×1301213131022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130121313109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10535943 + ... + 10548285.

It is an arithmetic number, because the mean of its divisors is an integer number (3292885440).

Almost surely, 2130121313102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130121313102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158058501120).

130121313102 is an abundant number, since it is smaller than the sum of its proper divisors (185995689138).

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

130121313102 is a wasteful number, since it uses less digits than its factorization.

130121313102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13838 (or 13835 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130121313102 its reverse (201313121031), we get a palindrome (331434434133).

The spelling of 130121313102 in words is "one hundred thirty billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 1439 2442 2878 3663 4317 7326 8634 12343 12951 15829 24686 25902 31658 37029 47487 53243 74058 94974 106486 111087 135773 142461 159729 222174 271546 284922 319458 407319 456691 479187 585673 814638 913382 958374 1171346 1221957 1370073 1757019 2443914 2740146 3514038 4110219 5023601 5271057 8220438 10047202 10542114 15070803 17761577 30141606 35523154 45212409 53284731 90424818 106569462 159854193 195377347 319708386 390754694 586132041 657178349 1172264082 1314356698 1758396123 1971535047 3516792246 3943070094 5914605141 7228961839 11829210282 14457923678 21686885517 43373771034 65060656551 130121313102