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10301432004 = 22322315182393
BaseRepresentation
bin10011001100000001…
…10110000011000100
3222120220221222002200
421212000312003010
5132044131311004
64422111234500
7513164504313
oct114600660304
928526858080
1010301432004
114406987376
121bb5b18a30
13c82299cc6
146da1ca27a
154045a1239
hex2660360c4

10301432004 has 72 divisors (see below), whose sum is σ = 27352171392. Its totient is φ = 3262723200.

The previous prime is 10301431993. The next prime is 10301432021. The reversal of 10301432004 is 40023410301.

It is a super-2 number, since 2×103014320042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83832 + ... + 166224.

Almost surely, 210301432004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301432004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13676085696).

10301432004 is an abundant number, since it is smaller than the sum of its proper divisors (17050739388).

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

10301432004 is a wasteful number, since it uses less digits than its factorization.

10301432004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82577 (or 82572 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10301432004 its reverse (40023410301), we get a palindrome (50324842305).

The spelling of 10301432004 in words is "ten billion, three hundred one million, four hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 151 207 276 302 414 453 604 828 906 1359 1812 2718 3473 5436 6946 10419 13892 20838 31257 41676 62514 82393 125028 164786 247179 329572 494358 741537 988716 1483074 1895039 2966148 3790078 5685117 7580156 11370234 12441343 17055351 22740468 24882686 34110702 37324029 49765372 68221404 74648058 111972087 149296116 223944174 286150889 447888348 572301778 858452667 1144603556 1716905334 2575358001 3433810668 5150716002 10301432004