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10128329200 = 2452112209263
BaseRepresentation
bin10010110111011001…
…00000100111110000
3222010212020102200201
421123230200213300
5131220323013300
64353005124544
7505663243363
oct113354404760
928125212621
1010128329200
1143281a5700
121b67b59754
13c5546c602
146c120a0da
153e42ab66a
hex25bb209f0

10128329200 has 90 divisors (see below), whose sum is σ = 26746659632. Its totient is φ = 3683011200.

The previous prime is 10128329161. The next prime is 10128329201. The reversal of 10128329200 is 292382101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10128329201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56232 + ... + 153031.

Almost surely, 210128329200 is an apocalyptic number.

10128329200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10128329200 is an abundant number, since it is smaller than the sum of its proper divisors (16618330432).

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

10128329200 is a wasteful number, since it uses less digits than its factorization.

10128329200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209303 (or 209281 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 10128329200 in words is "ten billion, one hundred twenty-eight million, three hundred twenty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400 209263 418526 837052 1046315 1674104 2092630 2301893 3348208 4185260 4603786 5231575 8370520 9207572 10463150 11509465 16741040 18415144 20926300 23018930 25320823 36830288 41852600 46037860 50641646 57547325 83705200 92075720 101283292 115094650 126604115 184151440 202566584 230189300 253208230 405133168 460378600 506416460 633020575 920757200 1012832920 1266041150 2025665840 2532082300 5064164600 10128329200