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131120301223002 = 237133738803167267
BaseRepresentation
bin11101110100000011010010…
…111110100010110001011010
3122012020222102020102001000210
4131310003102332202301122
5114141233334103114002
61142511500153111550
736422062204035210
oct3564032276426132
9565228366361023
10131120301223002
1138862897817573
1212857bab6b85b6
13582178c273740
14245438395ccb0
151025b1746696c
hex7740d2fa2c5a

131120301223002 has 128 divisors (see below), whose sum is σ = 331491369129984. Its totient is φ = 33645483641088.

The previous prime is 131120301222991. The next prime is 131120301223003. The reversal of 131120301223002 is 200322103021131.

131120301223002 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 131120301223002.

It is not an unprimeable number, because it can be changed into a prime (131120301223003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 783814573 + ... + 783981839.

It is an arithmetic number, because the mean of its divisors is an integer number (2589776321328).

Almost surely, 2131120301223002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131120301223002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165745684564992).

131120301223002 is an abundant number, since it is smaller than the sum of its proper divisors (200371067906982).

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

131120301223002 is a wasteful number, since it uses less digits than its factorization.

131120301223002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206132.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131120301223002 its reverse (200322103021131), we get a palindrome (331442404244133).

The spelling of 131120301223002 in words is "one hundred thirty-one trillion, one hundred twenty billion, three hundred one million, two hundred twenty-three thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 6734 10101 20202 38803 77606 116409 167267 232818 271621 334534 501801 504439 543242 814863 1003602 1008878 1170869 1435711 1513317 1629726 2174471 2341738 2871422 3026634 3512607 3531073 4307133 4348942 6188879 6523413 7025214 7062146 8614266 10049977 10593219 12377758 13046826 15221297 18566637 18664243 20099954 21186438 30149931 30442594 37133274 37328486 43322153 45663891 55992729 60299862 80455427 86644306 91327782 111985458 129966459 130649701 160910854 241366281 259932918 261299402 391949103 482732562 563187989 783898206 1126375978 1689563967 3379127934 6490461401 12980922802 19471384203 38942768406 45433229807 84375998213 90866459614 136299689421 168751996426 240147071837 253127994639 272599378842 480294143674 506255989278 590631987491 720441215511 1181263974982 1440882431022 1681029502859 1771895962473 3121911933881 3362059005718 3543791924946 5043088508577 6243823867762 9365735801643 10086177017154 18731471603286 21853383537167 43706767074334 65560150611501 131120301223002