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332142111102420 = 223352412552190803
BaseRepresentation
bin100101110000101001101110…
…0100011000001010111010100
31121120000110211210121012011000
41023201103130203001113110
5322013304020420234140
63134223551314343300
7126650322100131243
oct11341233443012724
91546013753535130
10332142111102420
1196915750876a43
1231303448b8ab30
1311343b36144838
145c03a9a3da95a
15285eba2843a30
hex12e14dc8c15d4

332142111102420 has 96 divisors (see below), whose sum is σ = 1037618693274240. Its totient is φ = 88203714117120.

The previous prime is 332142111102407. The next prime is 332142111102449. The reversal of 332142111102420 is 24201111241233.

332142111102420 is a `hidden beast` number, since 3 + 3 + 2 + 14 + 211 + 1 + 10 + 2 + 420 = 666.

It is a super-2 number, since 2×3321421111024202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1275965262 + ... + 1276225541.

It is an arithmetic number, because the mean of its divisors is an integer number (10808528054940).

Almost surely, 2332142111102420 is an apocalyptic number.

332142111102420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332142111102420 is an abundant number, since it is smaller than the sum of its proper divisors (705476582171820).

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

332142111102420 is a wasteful number, since it uses less digits than its factorization.

332142111102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552191062 (or 2552191054 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 332142111102420 its reverse (24201111241233), we get a palindrome (356343222343653).

The spelling of 332142111102420 in words is "three hundred thirty-two trillion, one hundred forty-two billion, one hundred eleven million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 241 270 482 540 723 964 1205 1446 2169 2410 2892 3615 4338 4820 6507 7230 8676 10845 13014 14460 21690 26028 32535 43380 65070 130140 2552190803 5104381606 7656572409 10208763212 12760954015 15313144818 22969717227 25521908030 30626289636 38282862045 45939434454 51043816060 68909151681 76565724090 91878868908 114848586135 137818303362 153131448180 229697172270 275636606724 344545758405 459394344540 615077983523 689091516810 1230155967046 1378183033620 1845233950569 2460311934092 3075389917615 3690467901138 5535701851707 6150779835230 7380935802276 9226169752845 11071403703414 12301559670460 16607105555121 18452339505690 22142807406828 27678509258535 33214211110242 36904679011380 55357018517070 66428422220484 83035527775605 110714037034140 166071055551210 332142111102420