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10122000002120 = 235601421048253
BaseRepresentation
bin1001001101001011011000…
…1101101110110001001000
31022211122122120202111110102
42103102312031232301020
52311314324000031440
633305552124304532
72063201411300546
oct223226615566110
938748576674412
1010122000002120
113252797137356
1211758653a2148
135856677baba6
1426dc9bd30d96
1512846a7abb15
hex934b636ec48

10122000002120 has 32 divisors (see below), whose sum is σ = 22812394401720. Its totient is φ = 4042063219200.

The previous prime is 10122000002113. The next prime is 10122000002129. The reversal of 10122000002120 is 2120000022101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7820110230916 + 2301889771204 = 2796446^2 + 1517198^2 .

It is not an unprimeable number, because it can be changed into a prime (10122000002129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210500087 + ... + 210548166.

Almost surely, 210122000002120 is an apocalyptic number.

10122000002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122000002120 is an abundant number, since it is smaller than the sum of its proper divisors (12690394399600).

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

10122000002120 is a wasteful number, since it uses less digits than its factorization.

10122000002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421048865 (or 421048861 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10122000002120 its reverse (2120000022101), we get a palindrome (12242000024221).

The spelling of 10122000002120 in words is "ten trillion, one hundred twenty-two billion, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 601 1202 2404 3005 4808 6010 12020 24040 421048253 842096506 1684193012 2105241265 3368386024 4210482530 8420965060 16841930120 253050000053 506100000106 1012200000212 1265250000265 2024400000424 2530500000530 5061000001060 10122000002120