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10104122240 = 27516396857
BaseRepresentation
bin10010110100100000…
…01010101110000000
3222002011200120222122
421122100022232000
5131143123402430
64350342223412
7505250423222
oct113220125600
928064616878
1010104122240
114315571653
121b5ba24b68
13c50445374
146bbd08412
153e20c8ee5
hex25a40ab80

10104122240 has 64 divisors (see below), whose sum is σ = 24303609360. Its totient is φ = 4016812032.

The previous prime is 10104122213. The next prime is 10104122257. The reversal of 10104122240 is 4222140101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55892 + ... + 152748.

Almost surely, 210104122240 is an apocalyptic number.

10104122240 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 10104122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12151804680).

10104122240 is an abundant number, since it is smaller than the sum of its proper divisors (14199487120).

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

10104122240 is an equidigital number, since it uses as much as digits as its factorization.

10104122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97039 (or 97027 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10104122240 its reverse (4222140101), we get a palindrome (14326262341).

The spelling of 10104122240 in words is "ten billion, one hundred four million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 163 320 326 640 652 815 1304 1630 2608 3260 5216 6520 10432 13040 20864 26080 52160 96857 104320 193714 387428 484285 774856 968570 1549712 1937140 3099424 3874280 6198848 7748560 12397696 15497120 15787691 30994240 31575382 61988480 63150764 78938455 126301528 157876910 252603056 315753820 505206112 631507640 1010412224 1263015280 2020824448 2526030560 5052061120 10104122240