Search a number
-
+
10100011110984 = 233346759310699
BaseRepresentation
bin1001001011111001011110…
…0100110001001001001000
31022202112220010210002111000
42102332113210301021020
52310434310321022414
633251514150135000
72061462455640324
oct222762744611110
938675803702430
1010100011110984
113244432a68a53
121171549351460
135835720583c2
1426cbb3842984
15127ad0124b09
hex92f97931248

10100011110984 has 32 divisors (see below), whose sum is σ = 28055586420000. Its totient is φ = 3366670370256.

The previous prime is 10100011110967. The next prime is 10100011110991. The reversal of 10100011110984 is 48901111000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23379655134 + ... + 23379655565.

It is an arithmetic number, because the mean of its divisors is an integer number (876737075625).

Almost surely, 210100011110984 is an apocalyptic number.

It is an amenable number.

10100011110984 is an abundant number, since it is smaller than the sum of its proper divisors (17955575309016).

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

10100011110984 is a wasteful number, since it uses less digits than its factorization.

10100011110984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46759310714 (or 46759310704 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

The spelling of 10100011110984 in words is "ten trillion, one hundred billion, eleven million, one hundred ten thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 46759310699 93518621398 140277932097 187037242796 280555864194 374074485592 420833796291 561111728388 841667592582 1122223456776 1262501388873 1683335185164 2525002777746 3366670370328 5050005555492 10100011110984