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204401103032 = 237173743134951
BaseRepresentation
bin1011111001011101000…
…0010101000010111000
3201112121001201212212102
42332113100111002320
511322103140244112
6233522305002532
720524151465120
oct2762720250270
9645531655772
10204401103032
1179760104035
1233745623448
131637607a259
149c70805c80
1554b4a29bc2
hex2f974150b8

204401103032 has 128 divisors (see below), whose sum is σ = 487381847040. Its totient is φ = 78353049600.

The previous prime is 204401103007. The next prime is 204401103041. The reversal of 204401103032 is 230301104402.

It is a junction number, because it is equal to n+sod(n) for n = 204401102995 and 204401103013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1447157 + ... + 1582107.

It is an arithmetic number, because the mean of its divisors is an integer number (3807670680).

Almost surely, 2204401103032 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 204401103032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243690923520).

204401103032 is an abundant number, since it is smaller than the sum of its proper divisors (282980744008).

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

204401103032 is a wasteful number, since it uses less digits than its factorization.

204401103032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135061 (or 135057 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 204401103032 its reverse (230301104402), we get a palindrome (434702207434).

The spelling of 204401103032 in words is "two hundred four billion, four hundred one million, one hundred three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 37 43 56 68 74 86 119 136 148 172 238 259 296 301 344 476 518 602 629 731 952 1036 1204 1258 1462 1591 2072 2408 2516 2924 3182 4403 5032 5117 5848 6364 8806 10234 11137 12728 17612 20468 22274 27047 35224 40936 44548 54094 89096 108188 134951 189329 216376 269902 378658 539804 757316 944657 1079608 1514632 1889314 2294167 3778628 4588334 4993187 5802893 7557256 9176668 9986374 11605786 16059169 18353336 19972748 23211572 32118338 34952309 39945496 40620251 46423144 64236676 69904618 81240502 84884179 98649181 128473352 139809236 162481004 169768358 197298362 214707041 279618472 324962008 339536716 394596724 429414082 594189253 679073432 690544267 789193448 858828164 1188378506 1381088534 1502949287 1717656328 2376757012 2762177068 3005898574 3650019697 4753514024 5524354136 6011797148 7300039394 12023594296 14600078788 25550137879 29200157576 51100275758 102200551516 204401103032