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10117371180 = 223571967127149
BaseRepresentation
bin10010110110000101…
…01101010100101100
3222010002121201010010
421123002231110230
5131210021334210
64351534213220
7505501143660
oct113302552454
928102551103
1010117371180
114321aa0794
121b64354210
13c53103987
146bd9968a0
153e3344920
hex25b0ad52c

10117371180 has 384 divisors, whose sum is σ = 35094528000. Its totient is φ = 2126767104.

The previous prime is 10117371179. The next prime is 10117371217. The reversal of 10117371180 is 8117371101.

It is a happy number.

It is a super-2 number, since 2×101173711802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67901746 + ... + 67901894.

It is an arithmetic number, because the mean of its divisors is an integer number (91392000).

Almost surely, 210117371180 is an apocalyptic number.

10117371180 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 10117371180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17547264000).

10117371180 is an abundant number, since it is smaller than the sum of its proper divisors (24977156820).

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

10117371180 is a wasteful number, since it uses less digits than its factorization.

10117371180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 30.

The spelling of 10117371180 in words is "ten billion, one hundred seventeen million, three hundred seventy-one thousand, one hundred eighty".