Search a number
-
+
10130001322032 = 2432142749297289
BaseRepresentation
bin1001001101101001001100…
…1000010110000000110000
31022212102022012122122221100
42103122103020112000300
52311432220314301112
633313354112324400
72063603606346054
oct223322310260060
938772265578840
1010130001322032
113256122726439
121177318b43700
135863413a3a07
1427041a85dc64
15128787e682dc
hex93693216030

10130001322032 has 60 divisors (see below), whose sum is σ = 28369801638360. Its totient is φ = 3374300769024.

The previous prime is 10130001322027. The next prime is 10130001322079. The reversal of 10130001322032 is 23022310003101.

10130001322032 is a `hidden beast` number, since 10 + 1 + 300 + 0 + 1 + 322 + 0 + 32 = 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 = 10130001321996 and 10130001322014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24443157 + ... + 24854132.

It is an arithmetic number, because the mean of its divisors is an integer number (472830027306).

Almost surely, 210130001322032 is an apocalyptic number.

10130001322032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10130001322032 is an abundant number, since it is smaller than the sum of its proper divisors (18239800316328).

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

10130001322032 is a wasteful number, since it uses less digits than its factorization.

10130001322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49298730 (or 49298721 counting only the distinct ones).

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

Adding to 10130001322032 its reverse (23022310003101), we get a palindrome (33152311325133).

The spelling of 10130001322032 in words is "ten trillion, one hundred thirty billion, one million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1427 2854 4281 5708 8562 11416 12843 17124 22832 25686 34248 51372 68496 102744 205488 49297289 98594578 147891867 197189156 295783734 394378312 443675601 591567468 788756624 887351202 1183134936 1774702404 2366269872 3549404808 7098809616 70347231403 140694462806 211041694209 281388925612 422083388418 562777851224 633125082627 844166776836 1125555702448 1266250165254 1688333553672 2532500330508 3376667107344 5065000661016 10130001322032