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10121322113 = 717472139277
BaseRepresentation
bin10010110110100011…
…10001111010000001
3222010101001102202222
421123101301322001
5131212024301423
64352155020425
7505546550510
oct113321617201
928111042688
1010121322113
11432424a121
121b6573a715
13c53b880c6
146c0304677
153e38753c8
hex25b471e81

10121322113 has 48 divisors (see below), whose sum is σ = 12649311360. Its totient is φ = 7905240576.

The previous prime is 10121322083. The next prime is 10121322149. The reversal of 10121322113 is 31122312101.

It is not a de Polignac number, because 10121322113 - 26 = 10121322049 is a prime.

It is a super-2 number, since 2×101213221132 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 10121322091 and 10121322100.

It is not an unprimeable number, because it can be changed into a prime (10121322713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36538931 + ... + 36539207.

It is an arithmetic number, because the mean of its divisors is an integer number (263527320).

Almost surely, 210121322113 is an apocalyptic number.

It is an amenable number.

10121322113 is a deficient number, since it is larger than the sum of its proper divisors (2527989247).

10121322113 is a wasteful number, since it uses less digits than its factorization.

10121322113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10121322113 its reverse (31122312101), we get a palindrome (41243634214).

The spelling of 10121322113 in words is "ten billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 7 17 47 119 139 277 329 799 973 1939 2209 2363 4709 5593 6533 13019 15463 16541 32963 37553 38503 45731 91133 111061 221323 262871 269521 307051 611893 654551 777427 1549261 1809641 2149357 4283251 4581857 5219867 10402181 12667487 30763897 36539069 72815267 85053127 215347279 595371889 1445903159 10121322113