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100432303230 = 23572927296043
BaseRepresentation
bin101110110001000111…
…0110101010001111110
3100121020022002121210110
41131202032311101332
53121141132200410
6114045444450450
710153543330530
oct1354216652176
9317208077713
10100432303230
11396584649a6
121756a6a9a26
13961725147c
144c0a633850
15292c17e720
hex17623b547e

100432303230 has 128 divisors (see below), whose sum is σ = 285122073600. Its totient is φ = 22152582144.

The previous prime is 100432303189. The next prime is 100432303249. The reversal of 100432303230 is 32303234001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100432303197 and 100432303206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16616589 + ... + 16622631.

It is an arithmetic number, because the mean of its divisors is an integer number (2227516200).

Almost surely, 2100432303230 is an apocalyptic number.

100432303230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100432303230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142561036800).

100432303230 is an abundant number, since it is smaller than the sum of its proper divisors (184689770370).

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

100432303230 is a wasteful number, since it uses less digits than its factorization.

100432303230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 100432303230 its reverse (32303234001), we get a palindrome (132735537231).

The spelling of 100432303230 in words is "one hundred billion, four hundred thirty-two million, three hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 2729 3045 5458 6043 6090 8187 12086 13645 16374 18129 19103 27290 30215 36258 38206 40935 42301 57309 60430 79141 81870 84602 90645 95515 114618 126903 158282 175247 181290 191030 211505 237423 253806 286545 350494 395705 423010 474846 525741 553987 573090 634515 791410 876235 1051482 1107974 1187115 1226729 1269030 1661961 1752470 2374230 2453458 2628705 2769935 3323922 3680187 5257410 5539870 6133645 7360374 8309805 12267290 16491347 16619610 18400935 32982694 36801870 49474041 82456735 98948082 115439429 164913470 230878858 247370205 346318287 478249063 494740410 577197145 692636574 956498126 1154394290 1434747189 1731591435 2391245315 2869494378 3347743441 3463182870 4782490630 6695486882 7173735945 10043230323 14347471890 16738717205 20086460646 33477434410 50216151615 100432303230