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10120220400 = 243528433517
BaseRepresentation
bin10010110110011011…
…00100111011110000
3222010021222110111210
421123031210323300
5131211234023100
64352115240120
7505534311513
oct113315447360
928107873453
1010120220400
114323667414
121b652a9040
13c538907c4
146c00d8d7a
153e3708c50
hex25b364ef0

10120220400 has 60 divisors (see below), whose sum is σ = 32418443192. Its totient is φ = 2698725120.

The previous prime is 10120220389. The next prime is 10120220417. The reversal of 10120220400 is 402202101.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4215559 + ... + 4217958.

Almost surely, 210120220400 is an apocalyptic number.

10120220400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120220400 is an abundant number, since it is smaller than the sum of its proper divisors (22298222792).

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

10120220400 is a wasteful number, since it uses less digits than its factorization.

10120220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8433538 (or 8433527 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10120220400 its reverse (402202101), we get a palindrome (10522422501).

The spelling of 10120220400 in words is "ten billion, one hundred twenty million, two hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 8433517 16867034 25300551 33734068 42167585 50601102 67468136 84335170 101202204 126502755 134936272 168670340 202404408 210837925 253005510 337340680 404808816 421675850 506011020 632513775 674681360 843351700 1012022040 1265027550 1686703400 2024044080 2530055100 3373406800 5060110200 10120220400