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135120426030 = 23251982995317
BaseRepresentation
bin111110111010111001…
…1100001010000101110
3110220202202220211122100
41331311303201100232
54203211312113110
6142023511355530
712522260446062
oct1756563412056
9426682824570
10135120426030
1152338a59a87
122222b682ba6
13c984979215
14677b557aa2
1537ac656bc0
hex1f75ce142e

135120426030 has 96 divisors (see below), whose sum is σ = 370253239200. Its totient is φ = 34094151936.

The previous prime is 135120426029. The next prime is 135120426037. The reversal of 135120426030 is 30624021531.

135120426030 is a `hidden beast` number, since 1 + 3 + 5 + 12 + 0 + 42 + 603 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135120425985 and 135120426003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135120426037) 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, 1369932 + ... + 1465248.

It is an arithmetic number, because the mean of its divisors is an integer number (3856804575).

Almost surely, 2135120426030 is an apocalyptic number.

135120426030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135120426030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185126619600).

135120426030 is an abundant number, since it is smaller than the sum of its proper divisors (235132813170).

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

135120426030 is a wasteful number, since it uses less digits than its factorization.

135120426030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96178 (or 96175 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 135120426030 its reverse (30624021531), we get a palindrome (165744447561).

The spelling of 135120426030 in words is "one hundred thirty-five billion, one hundred twenty million, four hundred twenty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 829 855 1658 1710 2487 4145 4974 7461 8290 12435 14922 15751 24870 31502 37305 47253 74610 78755 94506 95317 141759 157510 190634 236265 283518 285951 472530 476585 571902 708795 857853 953170 1417590 1429755 1715706 1811023 2859510 3622046 4289265 5433069 8578530 9055115 10866138 16299207 18110230 27165345 32598414 54330690 79017793 81496035 158035586 162992070 237053379 395088965 474106758 711160137 790177930 1185266895 1422320274 1501338067 2370533790 3002676134 3555800685 4504014201 7111601370 7506690335 9008028402 13512042603 15013380670 22520071005 27024085206 45040142010 67560213015 135120426030