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120130021132002 = 23471943112936227
BaseRepresentation
bin11011010100000111110011…
…001111001000011011100010
3120202100022120201110220020000
4123110013303033020123202
5111221202240402211002
61103254545253000430
734206051624443640
oct3324076317103342
9522308521426200
10120130021132002
1135305946167102
1211582005023116
13520529b7bcc3b
14219447727a190
15dd4cce29061c
hex6d41f33c86e2

120130021132002 has 160 divisors (see below), whose sum is σ = 324577204807680. Its totient is φ = 32440950113760.

The previous prime is 120130021131929. The next prime is 120130021132063. The reversal of 120130021132002 is 200231120031021.

120130021132002 is a `hidden beast` number, since 1 + 2 + 0 + 130 + 0 + 211 + 320 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2818213 + ... + 15754439.

It is an arithmetic number, because the mean of its divisors is an integer number (2028607530048).

Almost surely, 2120130021132002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120130021132002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162288602403840).

120130021132002 is an abundant number, since it is smaller than the sum of its proper divisors (204447183675678).

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

120130021132002 is a wasteful number, since it uses less digits than its factorization.

120130021132002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12936698 (or 12936689 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120130021132002 its reverse (200231120031021), we get a palindrome (320361141163023).

The spelling of 120130021132002 in words is "one hundred twenty trillion, one hundred thirty billion, twenty-one million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 431 513 567 798 862 1026 1134 1197 1293 1539 2394 2586 3017 3078 3591 3879 6034 7182 7758 8189 9051 10773 11637 16378 18102 21546 23274 24567 27153 34911 49134 54306 57323 69822 73701 81459 114646 147402 162918 171969 221103 244377 343938 442206 488754 515907 663309 1031814 1326618 1547721 3095442 4643163 9286326 12936227 25872454 38808681 77617362 90553589 116426043 181107178 232852086 245788313 271660767 349278129 491576626 543321534 698556258 737364939 814982301 1047834387 1474729878 1629964602 1720518191 2095668774 2212094817 2444946903 3441036382 4424189634 4889893806 5161554573 5575513837 6636284451 7334840709 10323109146 11151027674 13272568902 14669681418 15484663719 16726541511 19908853353 30969327438 33453083022 39028596859 39817706706 46453991157 50179624533 78057193718 92907982314 100359249066 105934762903 117085790577 139361973471 150538873599 211869525806 234171581154 278723946942 301077747198 317804288709 351257371731 451616620797 635608577418 702514743462 741543340321 903233241594 953412866127 1053772115193 1483086680642 1906825732254 2107544230386 2224630020963 2860238598381 3161316345579 4449260041926 5720477196762 6322632691158 6673890062889 8580715795143 13347780125778 17161431590286 20021670188667 40043340377334 60065010566001 120130021132002