Search a number
-
+
2212110100020 = 223537996445991
BaseRepresentation
bin100000001100001100000…
…010010110011000110100
321211110211202102100122110
4200030030002112120310
5242220400141200040
64412121312331020
7315551102415102
oct40141402263064
97743752370573
102212110100020
11783172533407
122b887b243a70
131307a7786ab2
14790d104cc72
153c81e6be980
hex2030c096634

2212110100020 has 48 divisors (see below), whose sum is σ = 6361311212928. Its totient is φ = 573952890240.

The previous prime is 2212110099967. The next prime is 2212110100021. The reversal of 2212110100020 is 200010112122.

It is a super-2 number, since 2×22121101000202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2212110099969 and 2212110100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212110100021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498220776 + ... + 498225215.

It is an arithmetic number, because the mean of its divisors is an integer number (132527316936).

Almost surely, 22212110100020 is an apocalyptic number.

2212110100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212110100020 is an abundant number, since it is smaller than the sum of its proper divisors (4149201112908).

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

2212110100020 is a wasteful number, since it uses less digits than its factorization.

2212110100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996446040 (or 996446038 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2212110100020 its reverse (200010112122), we get a palindrome (2412120212142).

The spelling of 2212110100020 in words is "two trillion, two hundred twelve billion, one hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 996445991 1992891982 2989337973 3985783964 4982229955 5978675946 9964459910 11957351892 14946689865 19928919820 29893379730 36868501667 59786759460 73737003334 110605505001 147474006668 184342508335 221211010002 368685016670 442422020004 553027525005 737370033340 1106055050010 2212110100020