Search a number
-
+
102231313020 = 223253715797771
BaseRepresentation
bin101111100110101110…
…1100000101001111100
3100202212200020210021200
41133031131200221330
53133332204004040
6114544151455500
710246246552164
oct1371535405174
9322780223250
10102231313020
113a3a0a02651
1217991087590
139842b858c5
144d3b52d5a4
1529d508e630
hex17cd760a7c

102231313020 has 144 divisors (see below), whose sum is σ = 320514606048. Its totient is φ = 26355663360.

The previous prime is 102231312977. The next prime is 102231313027. The reversal of 102231313020 is 20313132201.

102231313020 is a `hidden beast` number, since 10 + 223 + 131 + 302 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102231312984 and 102231313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102231313027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 996735 + ... + 1094505.

Almost surely, 2102231313020 is an apocalyptic number.

102231313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102231313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160257303024).

102231313020 is an abundant number, since it is smaller than the sum of its proper divisors (218283293028).

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

102231313020 is a wasteful number, since it uses less digits than its factorization.

102231313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97980 (or 97975 counting only the distinct ones).

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

Adding to 102231313020 its reverse (20313132201), we get a palindrome (122544445221).

The spelling of 102231313020 in words is "one hundred two billion, two hundred thirty-one million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 157 180 185 222 314 333 370 444 471 555 628 666 740 785 942 1110 1332 1413 1570 1665 1884 2220 2355 2826 3140 3330 4710 5652 5809 6660 7065 9420 11618 14130 17427 23236 28260 29045 34854 52281 58090 69708 87135 97771 104562 116180 174270 195542 209124 261405 293313 348540 391084 488855 522810 586626 879939 977710 1045620 1173252 1466565 1759878 1955420 2933130 3519756 3617527 4399695 5866260 7235054 8799390 10852581 14470108 15350047 17598780 18087635 21705162 30700094 32557743 36175270 43410324 46050141 54262905 61400188 65115486 72350540 76750235 92100282 108525810 130230972 138150423 153500470 162788715 184200564 217051620 230250705 276300846 307000940 325577430 460501410 552601692 567951739 651154860 690752115 921002820 1135903478 1381504230 1703855217 2271806956 2763008460 2839758695 3407710434 5111565651 5679517390 6815420868 8519276085 10223131302 11359034780 17038552170 20446262604 25557828255 34077104340 51115656510 102231313020