Search a number
-
+
21103201231002 = 23211176899602501
BaseRepresentation
bin1001100110001011110001…
…10100000010000010011010
32202201110001101012122202200
410303011320310002002122
510231223324003343002
6112514402105111030
74305440666534262
oct463057064020232
982643041178680
1021103201231002
1167a68a9a32290
122449b37488476
13ba103c36bc27
1452d5869507a2
15268e218c9b1c
hex133178d0209a

21103201231002 has 48 divisors (see below), whose sum is σ = 49880658578400. Its totient is φ = 6394862700000.

The previous prime is 21103201230919. The next prime is 21103201231009. The reversal of 21103201231002 is 20013210230112.

21103201231002 is a `hidden beast` number, since 2 + 110 + 320 + 1 + 231 + 0 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21103201231009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34724752 + ... + 35327252.

It is an arithmetic number, because the mean of its divisors is an integer number (1039180387050).

Almost surely, 221103201231002 is an apocalyptic number.

21103201231002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21103201231002 is an abundant number, since it is smaller than the sum of its proper divisors (28777457347398).

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

21103201231002 is a wasteful number, since it uses less digits than its factorization.

21103201231002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779419 (or 779416 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21103201231002 its reverse (20013210230112), we get a palindrome (41116411461114).

The spelling of 21103201231002 in words is "twenty-one trillion, one hundred three billion, two hundred one million, two hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 176899 353798 530697 602501 1061394 1205002 1592091 1807503 1945889 3184182 3615006 3891778 5422509 5837667 6627511 10845018 11675334 13255022 17513001 19882533 35026002 39765066 59647599 119295198 106581824399 213163648798 319745473197 639490946394 959236419591 1172400068389 1918472839182 2344800136778 3517200205167 7034400410334 10551600615501 21103201231002