Search a number
-
+
10233110000232 = 2332735835666701
BaseRepresentation
bin1001010011101001010011…
…1000101111001001101000
31100020021110000211012222200
42110322110320233021220
52320124402130001412
633433005325220200
72104214001555240
oct224722470571150
940207400735880
1010233110000232
113295923900479
1211932b3a01660
13592c93c594c2
142753dc6d6b20
1512b2c00629dc
hex94e94e2f268

10233110000232 has 96 divisors (see below), whose sum is σ = 31682757550080. Its totient is φ = 2922929193600.

The previous prime is 10233110000213. The next prime is 10233110000251. The reversal of 10233110000232 is 23200001133201.

10233110000232 is a `hidden beast` number, since 1 + 0 + 2 + 331 + 100 + 0 + 0 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (10233110000213) and next prime (10233110000251).

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, 1027519 + ... + 4639182.

It is an arithmetic number, because the mean of its divisors is an integer number (330028724480).

Almost surely, 210233110000232 is an apocalyptic number.

10233110000232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10233110000232 is an abundant number, since it is smaller than the sum of its proper divisors (21449647549848).

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

10233110000232 is a wasteful number, since it uses less digits than its factorization.

10233110000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670303 (or 5670296 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10233110000232 its reverse (23200001133201), we get a palindrome (33433111133433).

The spelling of 10233110000232 in words is "ten trillion, two hundred thirty-three billion, one hundred ten million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 3583 7166 10749 14332 21498 25081 28664 32247 42996 50162 64494 75243 85992 100324 128988 150486 200648 225729 257976 300972 451458 601944 902916 1805832 5666701 11333402 17000103 22666804 34000206 39666907 45333608 51000309 68000412 79333814 102000618 119000721 136000824 158667628 204001236 238001442 317335256 357002163 408002472 476002884 714004326 952005768 1428008652 2856017304 20303789683 40607579366 60911369049 81215158732 121822738098 142126527781 162430317464 182734107147 243645476196 284253055562 365468214294 426379583343 487290952392 568506111124 730936428588 852759166686 1137012222248 1279138750029 1461872857176 1705518333372 2558277500058 3411036666744 5116555000116 10233110000232