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120130132000302 = 232291812694726619
BaseRepresentation
bin11011010100000111111001…
…110110000011111000101110
3120202100022212110002120221100
4123110013321312003320232
5111221203002243002202
61103255004253143530
734206054442013064
oct3324077166037056
9522308773076840
10120130132000302
11353059a28010a6
121158203618aba6
1352052b876a598
142194487c9a034
15dd4cd8d9041c
hex6d41f9d83e2e

120130132000302 has 96 divisors (see below), whose sum is σ = 271751344956000. Its totient is φ = 38306024789760.

The previous prime is 120130132000283. The next prime is 120130132000343. The reversal of 120130132000302 is 203000231031021.

120130132000302 is a `hidden beast` number, since 1 + 20 + 130 + 13 + 200 + 0 + 302 = 666.

It is a super-2 number, since 2×1201301320003022 (a number of 29 digits) contains 22 as substring.

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

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, 23052349 + ... + 27778967.

It is an arithmetic number, because the mean of its divisors is an integer number (2830743176625).

Almost surely, 2120130132000302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120130132000302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135875672478000).

120130132000302 is an abundant number, since it is smaller than the sum of its proper divisors (151621212955698).

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

120130132000302 is a wasteful number, since it uses less digits than its factorization.

120130132000302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727106 (or 4727103 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120130132000302 its reverse (203000231031021), we get a palindrome (323130363031323).

The spelling of 120130132000302 in words is "one hundred twenty trillion, one hundred thirty billion, one hundred thirty-two million, three hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 29 58 87 174 181 261 269 362 522 538 543 807 1086 1614 1629 2421 3258 4842 5249 7801 10498 15602 15747 23403 31494 46806 47241 48689 70209 94482 97378 140418 146067 292134 438201 876402 1411981 2823962 4235943 4726619 8471886 9453238 12707829 14179857 25415658 28359714 42539571 85079142 137071951 274143902 411215853 822431706 855518039 1233647559 1271460511 1711036078 2467295118 2542921022 2566554117 3814381533 5133108234 7628763066 7699662351 11443144599 15399324702 22886289198 24810023131 36872354819 49620046262 73744709638 74430069393 110617064457 148860138786 221234128914 223290208179 230134352491 331851193371 446580416358 460268704982 663702386742 690403057473 1380806114946 2071209172419 4142418344838 6673896222239 13347792444478 20021688666717 40043377333434 60065066000151 120130132000302