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211310123310020 = 22571561199667997
BaseRepresentation
bin110000000010111101111000…
…110101100101101111000100
31000201012001100211000012022002
4300002331320311211233010
5210144101113031410040
62025230310331524432
762336436562244060
oct6002757065455704
91021161324005262
10211310123310020
116136a135846179
121b8493988b9718
1390ba5c79146b7
143a2767099caa0
1519669dba21a15
hexc02f78d65bc4

211310123310020 has 48 divisors (see below), whose sum is σ = 507147596847360. Its totient is φ = 72448713577344.

The previous prime is 211310123309977. The next prime is 211310123310023. The reversal of 211310123310020 is 20013321013112.

It is a happy number.

211310123310020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2113101233100202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211310123309974 and 211310123310001.

It is not an unprimeable number, because it can be changed into a prime (211310123310023) 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, 17022662 + ... + 26690658.

It is an arithmetic number, because the mean of its divisors is an integer number (10565574934320).

Almost surely, 2211310123310020 is an apocalyptic number.

211310123310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211310123310020 is an abundant number, since it is smaller than the sum of its proper divisors (295837473537340).

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

211310123310020 is a wasteful number, since it uses less digits than its factorization.

211310123310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9824132 (or 9824130 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211310123310020 its reverse (20013321013112), we get a palindrome (231323444323132).

The spelling of 211310123310020 in words is "two hundred eleven trillion, three hundred ten billion, one hundred twenty-three million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 156119 312238 624476 780595 1092833 1561190 2185666 3122380 4371332 5464165 9667997 10928330 19335994 21856660 38671988 48339985 67675979 96679970 135351958 193359940 270703916 338379895 676759790 1353519580 1509358023643 3018716047286 6037432094572 7546790118215 10565506165501 15093580236430 21131012331002 30187160472860 42262024662004 52827530827505 105655061655010 211310123310020