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100922693248 = 271360650657
BaseRepresentation
bin101110111111101110…
…1100001011010000000
3100122111110212000102201
41131333131201122000
53123142202140443
6114210243322544
710201646511166
oct1357735413200
9318443760381
10100922693248
113988a258203
1217686980454
139694a20390
144c55807236
15295a24a34d
hex177f761680

100922693248 has 32 divisors (see below), whose sum is σ = 216522849060. Its totient is φ = 46579703808.

The previous prime is 100922693191. The next prime is 100922693269. The reversal of 100922693248 is 842396229001.

It can be written as a sum of positive squares in 2 ways, for example, as 96343193664 + 4579499584 = 310392^2 + 67672^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 100922693198 and 100922693207.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30323665 + ... + 30326992.

Almost surely, 2100922693248 is an apocalyptic number.

It is an amenable number.

100922693248 is an abundant number, since it is smaller than the sum of its proper divisors (115600155812).

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

100922693248 is an equidigital number, since it uses as much as digits as its factorization.

100922693248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60650684 (or 60650672 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 100922693248 in words is "one hundred billion, nine hundred twenty-two million, six hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 60650657 121301314 242602628 485205256 788458541 970410512 1576917082 1940821024 3153834164 3881642048 6307668328 7763284096 12615336656 25230673312 50461346624 100922693248