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10151340100 = 22521110389597
BaseRepresentation
bin10010111010001000…
…10010100001000100
3222012110112111201021
421131010102201010
5131242220340400
64355150240524
7506362652506
oct113504224104
928173474637
1010151340100
11433a192080
121b737b6144
13c5a168325
146c42b9d76
153e630471a
hex25d112844

10151340100 has 72 divisors (see below), whose sum is σ = 24264571968. Its totient is φ = 3655516800.

The previous prime is 10151340079. The next prime is 10151340139. The reversal of 10151340100 is 104315101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68502 + ... + 158098.

It is an arithmetic number, because the mean of its divisors is an integer number (337007944).

Almost surely, 210151340100 is an apocalyptic number.

10151340100 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 10151340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132285984).

10151340100 is an abundant number, since it is smaller than the sum of its proper divisors (14113231868).

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

10151340100 is a wasteful number, since it uses less digits than its factorization.

10151340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89725 (or 89718 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 10151340100 its reverse (104315101), we get a palindrome (10255655201).

The spelling of 10151340100 in words is "ten billion, one hundred fifty-one million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 550 1030 1100 1133 2060 2266 2575 4532 5150 5665 10300 11330 22660 28325 56650 89597 113300 179194 358388 447985 895970 985567 1791940 1971134 2239925 3942268 4479850 4927835 8959700 9228491 9855670 18456982 19711340 24639175 36913964 46142455 49278350 92284910 98556700 101513401 184569820 203026802 230712275 406053604 461424550 507567005 922849100 1015134010 2030268020 2537835025 5075670050 10151340100