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120511115142 = 231117237170759
BaseRepresentation
bin111000000111100000…
…1011010111110000110
3102112001121220221122220
41300033001122332012
53433301321141032
6131210111233210
711464243402005
oct1601701327606
9375047827586
10120511115142
1147121423530
121b432b18806
13b497061772
145b93192c3c
153204cb712c
hex1c0f05af86

120511115142 has 96 divisors (see below), whose sum is σ = 286860407040. Its totient is φ = 33441246720.

The previous prime is 120511115129. The next prime is 120511115183. The reversal of 120511115142 is 241511115021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620359 + ... + 791117.

It is an arithmetic number, because the mean of its divisors is an integer number (2988129240).

Almost surely, 2120511115142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120511115142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143430203520).

120511115142 is an abundant number, since it is smaller than the sum of its proper divisors (166349291898).

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

120511115142 is a wasteful number, since it uses less digits than its factorization.

120511115142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170846 (or 170829 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 24.

The spelling of 120511115142 in words is "one hundred twenty billion, five hundred eleven million, one hundred fifteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 187 222 289 374 407 561 578 629 814 867 1122 1221 1258 1734 1887 2442 3179 3774 6358 6919 9537 10693 13838 19074 20757 21386 32079 41514 64158 117623 170759 235246 341518 352869 512277 705738 1024554 1878349 2902903 3756698 5635047 5805806 6318083 8708709 11270094 12636166 17417418 18954249 31931933 37908498 49349351 63863866 69498913 95795799 98698702 107407411 138997826 148048053 191591598 208496739 214814822 296096106 322222233 416993478 542842861 644444466 1085685722 1181481521 1628528583 1825925987 2362963042 3257057166 3544444563 3651851974 5477777961 7088889126 10955555922 20085185857 40170371714 60255557571 120511115142