Search a number
-
+
12320131101000 = 233534106710367
BaseRepresentation
bin1011001101001000000100…
…0010011011000101001000
31121121210102010020000112220
42303102001002123011020
53103323112030213000
642111442354334040
72411046222326412
oct263220102330510
947553363200486
1012320131101000
113a1aa35904258
12146b882b8a320
136b4a25108a78
143084245b19b2
1516571cae51a0
hexb348109b148

12320131101000 has 64 divisors (see below), whose sum is σ = 38438809044480. Its totient is φ = 3285368292800.

The previous prime is 12320131100951. The next prime is 12320131101023. The reversal of 12320131101000 is 10113102321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2053352184 + ... + 2053358183.

It is an arithmetic number, because the mean of its divisors is an integer number (600606391320).

Almost surely, 212320131101000 is an apocalyptic number.

12320131101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320131101000 is an abundant number, since it is smaller than the sum of its proper divisors (26118677943480).

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

12320131101000 is a wasteful number, since it uses less digits than its factorization.

12320131101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106710391 (or 4106710377 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12320131101000 its reverse (10113102321), we get a palindrome (12330244203321).

The spelling of 12320131101000 in words is "twelve trillion, three hundred twenty billion, one hundred thirty-one million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4106710367 8213420734 12320131101 16426841468 20533551835 24640262202 32853682936 41067103670 49280524404 61600655505 82134207340 98561048808 102667759175 123201311010 164268414680 205335518350 246402622020 308003277525 410671036700 492805244040 513338795875 616006555050 821342073400 1026677591750 1232013110100 1540016387625 2053355183500 2464026220200 3080032775250 4106710367000 6160065550500 12320131101000