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332131121010 = 23451331541417
BaseRepresentation
bin1001101010101001000…
…11101011011101110010
31011202021210022002120000
410311110203223131302
520420201031333020
6412325014330430
732665342643103
oct4652443533562
91152253262500
10332131121010
111189463a5067
1254452059a16
1325420889b50
141210a6183aa
15898d44b090
hex4d548eb772

332131121010 has 80 divisors (see below), whose sum is σ = 961760917656. Its totient is φ = 81755350272.

The previous prime is 332131120987. The next prime is 332131121051. The reversal of 332131121010 is 10121131233.

332131121010 is a `hidden beast` number, since 3 + 321 + 311 + 21 + 0 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 182856298689 + 149274822321 = 427617^2 + 386361^2 .

It is a super-2 number, since 2×3321311210102 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15760179 + ... + 15781238.

Almost surely, 2332131121010 is an apocalyptic number.

332131121010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332131121010 is an abundant number, since it is smaller than the sum of its proper divisors (629629796646).

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

332131121010 is a wasteful number, since it uses less digits than its factorization.

332131121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31541449 (or 31541440 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 332131121010 its reverse (10121131233), we get a palindrome (342252252243).

The spelling of 332131121010 in words is "three hundred thirty-two billion, one hundred thirty-one million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 31541417 63082834 94624251 157707085 189248502 283872753 315414170 410038421 473121255 567745506 820076842 851618259 946242510 1230115263 1419363765 1703236518 2050192105 2460230526 2554854777 2838727530 3690345789 4100384210 4258091295 5109709554 6150576315 7380691578 8516182590 11071037367 12301152630 12774273885 18451728945 22142074734 25548547770 33213112101 36903457890 55355186835 66426224202 110710373670 166065560505 332131121010