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10132401420 = 22325547110289
BaseRepresentation
bin10010110111111000…
…00010110100001100
3222011010220022201200
421123330002310030
5131222343321140
64353232305500
7506042663631
oct113374026414
928133808650
1010132401420
11432a527179
121b693a2290
13c56266ccb
146c198a188
153e4813030
hex25bf02d0c

10132401420 has 72 divisors (see below), whose sum is σ = 30743556480. Its totient is φ = 2701217280.

The previous prime is 10132401373. The next prime is 10132401431. The reversal of 10132401420 is 2410423101.

10132401420 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 240 + 1 + 420 = 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 = 10132401393 and 10132401402.

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, 979636 + ... + 989924.

It is an arithmetic number, because the mean of its divisors is an integer number (426993840).

Almost surely, 210132401420 is an apocalyptic number.

10132401420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132401420 is an abundant number, since it is smaller than the sum of its proper divisors (20611155060).

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

10132401420 is a wasteful number, since it uses less digits than its factorization.

10132401420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15775 (or 15770 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10132401420 its reverse (2410423101), we get a palindrome (12542824521).

The spelling of 10132401420 in words is "ten billion, one hundred thirty-two million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5471 10289 10942 16413 20578 21884 27355 30867 32826 41156 49239 51445 54710 61734 65652 82065 92601 98478 102890 109420 123468 154335 164130 185202 196956 205780 246195 308670 328260 370404 463005 492390 617340 926010 984780 1852020 56291119 112582238 168873357 225164476 281455595 337746714 506620071 562911190 675493428 844366785 1013240142 1125822380 1688733570 2026480284 2533100355 3377467140 5066200710 10132401420