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10132121443240 = 2351789167417737
BaseRepresentation
bin1001001101110001000101…
…1111111101101110101000
31022212121202222000222111001
42103130101133331232220
52312001041042140430
633314344330044344
72064010262155336
oct223342137755650
938777688028431
1010132121443240
113257010457925
12117780ab796b4
135865bb6b81c4
1427057c266b56
1512885e1573ca
hex937117fdba8

10132121443240 has 64 divisors (see below), whose sum is σ = 24409506200400. Its totient is φ = 3771586756608.

The previous prime is 10132121443159. The next prime is 10132121443267. The reversal of 10132121443240 is 4234412123101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7953787500516 + 2178333942724 = 2820246^2 + 1475918^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10132121443199 and 10132121443208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83648349 + ... + 83769388.

Almost surely, 210132121443240 is an apocalyptic number.

10132121443240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132121443240 is an abundant number, since it is smaller than the sum of its proper divisors (14277384757160).

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

10132121443240 is a wasteful number, since it uses less digits than its factorization.

10132121443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167417854 (or 167417850 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10132121443240 its reverse (4234412123101), we get a palindrome (14366533566341).

The spelling of 10132121443240 in words is "ten trillion, one hundred thirty-two billion, one hundred twenty-one million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 89 136 170 178 340 356 445 680 712 890 1513 1780 3026 3560 6052 7565 12104 15130 30260 60520 167417737 334835474 669670948 837088685 1339341896 1674177370 2846101529 3348354740 5692203058 6696709480 11384406116 14230507645 14900178593 22768812232 28461015290 29800357186 56922030580 59600714372 74500892965 113844061160 119201428744 149001785930 253303036081 298003571860 506606072162 596007143720 1013212144324 1266515180405 2026424288648 2533030360810 5066060721620 10132121443240