Search a number
-
+
10002211220020 = 22541113107945297
BaseRepresentation
bin1001000110001101001000…
…1111110010101000110100
31022102012110022000212110011
42101203102033302220310
52302334012033020040
633134541415110004
72051431055404015
oct221432217625064
938365408025404
1010002211220020
113206a06527388
1211565b4372304
135772872b7b36
14268176a8b00c
151252a91293ea
hex918d23f2a34

10002211220020 has 48 divisors (see below), whose sum is σ = 21707367646608. Its totient is φ = 3868759408640.

The previous prime is 10002211219969. The next prime is 10002211220107. The reversal of 10002211220020 is 2002211220001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3521612547216 + 6480598672804 = 1876596^2 + 2545702^2 .

It is a congruent number.

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, 53879989 + ... + 54065308.

It is an arithmetic number, because the mean of its divisors is an integer number (452236825971).

Almost surely, 210002211220020 is an apocalyptic number.

10002211220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002211220020 is an abundant number, since it is smaller than the sum of its proper divisors (11705156426588).

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

10002211220020 is a wasteful number, since it uses less digits than its factorization.

10002211220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107945460 (or 107945458 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10002211220020 its reverse (2002211220001), we get a palindrome (12004422440021).

The spelling of 10002211220020 in words is "ten trillion, two billion, two hundred eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 113 164 205 226 410 452 565 820 1130 2260 4633 9266 18532 23165 46330 92660 107945297 215890594 431781188 539726485 1079452970 2158905940 4425757177 8851514354 12197818561 17703028708 22128785885 24395637122 44257571770 48791274244 60989092805 88515143540 121978185610 243956371220 500110561001 1000221122002 2000442244004 2500552805005 5001105610010 10002211220020