Search a number
-
+
211010000210020 = 225118497431128737
BaseRepresentation
bin101111111110100110011000…
…000110110100100001100100
31000200010100200201110001002201
4233332212120012310201210
5210124141440023210040
62024440353400144244
762305653341056324
oct5776463006644144
91020110621401081
10211010000210020
1161263925110040
121b7bb19a168084
139098208444b6b
143a16d1d375284
15195dcc3648a9a
hexbfe9981b4864

211010000210020 has 48 divisors (see below), whose sum is σ = 483405724908288. Its totient is φ = 76730750888960.

The previous prime is 211010000210017. The next prime is 211010000210071. The reversal of 211010000210020 is 20012000010112.

211010000210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211010000209979 and 211010000210006.

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, 186379092 + ... + 187507828.

It is an arithmetic number, because the mean of its divisors is an integer number (10070952602256).

Almost surely, 2211010000210020 is an apocalyptic number.

211010000210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010000210020 is an abundant number, since it is smaller than the sum of its proper divisors (272395724698268).

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

211010000210020 is a wasteful number, since it uses less digits than its factorization.

211010000210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978500 (or 1978498 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211010000210020 its reverse (20012000010112), we get a palindrome (231022000220132).

The spelling of 211010000210020 in words is "two hundred eleven trillion, ten billion, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 849743 1128737 1699486 2257474 3398972 4248715 4514948 5643685 8497430 9347173 11287370 12416107 16994860 18694346 22574740 24832214 37388692 46735865 49664428 62080535 93471730 124161070 186943460 248322140 959136364591 1918272729182 3836545458364 4795681822955 9591363645910 10550500010501 19182727291820 21101000021002 42202000042004 52752500052505 105505000105010 211010000210020