Search a number
-
+
100946237161 = 72113117933751
BaseRepresentation
bin101111000000011011…
…1010101011011101001
3100122120010011011121111
41132000313111123221
53123214214042121
6114212444110321
710202353600300
oct1360067253351
9318503134544
10100946237161
11398a1579090
12176928353a1
1396998748a3
144c589b5437
15295c34b2e1
hex1780dd56e9

100946237161 has 48 divisors (see below), whose sum is σ = 132977479680. Its totient is φ = 75694500000.

The previous prime is 100946237081. The next prime is 100946237179. The reversal of 100946237161 is 161732649001.

It is not a de Polignac number, because 100946237161 - 27 = 100946237033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100946234161) 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, 2974036 + ... + 3007786.

It is an arithmetic number, because the mean of its divisors is an integer number (2770364160).

Almost surely, 2100946237161 is an apocalyptic number.

100946237161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100946237161 is a deficient number, since it is larger than the sum of its proper divisors (32031242519).

100946237161 is a wasteful number, since it uses less digits than its factorization.

100946237161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33986 (or 33979 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 100946237161 in words is "one hundred billion, nine hundred forty-six million, two hundred thirty-seven thousand, one hundred sixty-one".

Divisors: 1 7 11 31 49 77 179 217 341 539 1253 1519 1969 2387 5549 8771 13783 16709 33751 38843 61039 96481 236257 271901 371261 427273 1046281 1653799 2598827 2990911 6041429 7323967 11509091 18191789 42290003 51267769 66455719 80563637 187284299 296030021 465190033 563945459 1310990093 2060127289 3256330231 9176930651 14420891023 100946237161