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130002120112 = 241719292114111
BaseRepresentation
bin111100100010010111…
…0101110110110110000
3110102120001220221212111
41321010232232312300
54112221020320422
6135415552335104
712251400534304
oct1710456566660
9412501827774
10130002120112
1150151897a97
1221241544494
13c34a467837
14641389bd04
1535ad131a77
hex1e44baedb0

130002120112 has 160 divisors (see below), whose sum is σ = 291859891200. Its totient is φ = 55680307200.

The previous prime is 130002120077. The next prime is 130002120113. The reversal of 130002120112 is 211021200031.

It is a super-2 number, since 2×1300021201122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130002120092 and 130002120101.

It is not an unprimeable number, because it can be changed into a prime (130002120113) 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, 31620937 + ... + 31625047.

It is an arithmetic number, because the mean of its divisors is an integer number (1824124320).

Almost surely, 2130002120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130002120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145929945600).

130002120112 is an abundant number, since it is smaller than the sum of its proper divisors (161857771088).

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

130002120112 is a wasteful number, since it uses less digits than its factorization.

130002120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 130002120112 its reverse (211021200031), we get a palindrome (341023320143).

The spelling of 130002120112 in words is "one hundred thirty billion, two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 19 29 34 38 58 68 76 116 136 152 211 232 272 304 323 422 464 493 551 646 844 986 1102 1292 1688 1972 2204 2584 3376 3587 3944 4009 4111 4408 5168 6119 7174 7888 8018 8222 8816 9367 12238 14348 16036 16444 18734 24476 28696 32072 32888 37468 48952 57392 64144 65776 68153 69887 74936 78109 97904 104023 116261 119219 136306 139774 149872 156218 208046 232522 238438 272612 279548 312436 416092 465044 476876 545224 559096 624872 832184 867421 930088 953752 1090448 1118192 1249744 1327853 1664368 1734842 1860176 1907504 1976437 2026723 2265161 2655706 3469684 3952874 4053446 4530322 5311412 6939368 7905748 8106892 9060644 10622824 13878736 14746157 15811496 16213784 16480999 18121288 21245648 25155209 29492314 31622992 32427568 32961998 36242576 38507737 50310418 58984628 65923996 77015474 100620836 117969256 131847992 154030948 201241672 235938512 263695984 280176983 308061896 402483344 427638553 477948971 560353966 616123792 855277106 955897942 1120707932 1710554212 1911795884 2241415864 3421108424 3823591768 4482831728 6842216848 7647183536 8125132507 16250265014 32500530028 65001060056 130002120112