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120254101515140 = 225436591087195203
BaseRepresentation
bin11011010101111011010111…
…000000001110101110000100
3120202210011212002121110002212
4123111323113000032232010
5111230220344441441030
61103431545510122552
734221033511343045
oct3325732700165604
9522704762543085
10120254101515140
113535352931849a
12115a2073350458
135213bb41615a8
14219a48849c8cc
15dd8142598595
hex6d5ed700eb84

120254101515140 has 96 divisors (see below), whose sum is σ = 259038019215360. Its totient is φ = 46868306276736.

The previous prime is 120254101515091. The next prime is 120254101515151. The reversal of 120254101515140 is 41515101452021.

It is a super-2 number, since 2×1202541015151402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120254101515097 and 120254101515106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615948779 + ... + 616143981.

It is an arithmetic number, because the mean of its divisors is an integer number (2698312700160).

Almost surely, 2120254101515140 is an apocalyptic number.

120254101515140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120254101515140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129519009607680).

120254101515140 is an abundant number, since it is smaller than the sum of its proper divisors (138783917700220).

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

120254101515140 is a wasteful number, since it uses less digits than its factorization.

120254101515140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197001 (or 196999 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 32.

Adding to 120254101515140 its reverse (41515101452021), we get a palindrome (161769202967161).

The spelling of 120254101515140 in words is "one hundred twenty trillion, two hundred fifty-four billion, one hundred one million, five hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 659 860 1087 1318 2174 2636 3295 4348 5435 6590 10870 13180 21740 28337 46741 56674 93482 113348 141685 186964 195203 233705 283370 390406 467410 566740 716333 780812 934820 976015 1432666 1952030 2865332 3581665 3904060 7163330 8393729 14326660 16787458 30802319 33574916 41968645 61604638 83937290 123209276 128638777 154011595 167874580 212185661 257277554 308023190 424371322 514555108 616046380 643193885 848742644 1060928305 1286387770 2121856610 2572775540 4243713220 5531467411 9123983423 11062934822 18247966846 22125869644 27657337055 36495933692 45619917115 55314674110 91239834230 110629348220 139830350599 182479668460 279660701198 559321402396 699151752995 1398303505990 2796607011980 6012705075757 12025410151514 24050820303028 30063525378785 60127050757570 120254101515140