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10211122020 = 22351171217907
BaseRepresentation
bin10011000001010000…
…10101101101100100
3222100122000202002110
421200220111231210
5131403021401040
64405123441020
7511020051021
oct114050255544
928318022073
1010211122020
11436aa04120
121b8b826170
13c69669c48
146cc1dc548
153eb6b2980
hex260a15b64

10211122020 has 96 divisors (see below), whose sum is σ = 31629782016. Its totient is φ = 2440547200.

The previous prime is 10211121997. The next prime is 10211122043. The reversal of 10211122020 is 2022111201.

It is an interprime number because it is at equal distance from previous prime (10211121997) and next prime (10211122043).

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 = 10211121987 and 10211122005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62094 + ... + 155813.

It is an arithmetic number, because the mean of its divisors is an integer number (329476896).

Almost surely, 210211122020 is an apocalyptic number.

10211122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211122020 is an abundant number, since it is smaller than the sum of its proper divisors (21418659996).

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

10211122020 is a wasteful number, since it uses less digits than its factorization.

10211122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218001 (or 217999 counting only the distinct ones).

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

Adding to 10211122020 its reverse (2022111201), we get a palindrome (12233233221).

It can be divided in two parts, 10211 and 122020, that added together give a palindrome (132231).

The spelling of 10211122020 in words is "ten billion, two hundred eleven million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 426 660 710 781 852 1065 1420 1562 2130 2343 3124 3905 4260 4686 7810 9372 11715 15620 23430 46860 217907 435814 653721 871628 1089535 1307442 2179070 2396977 2614884 3268605 4358140 4793954 6537210 7190931 9587908 11984885 13074420 14381862 15471397 23969770 28763724 30942794 35954655 46414191 47939540 61885588 71909310 77356985 92828382 143818620 154713970 170185367 185656764 232070955 309427940 340370734 464141910 510556101 680741468 850926835 928283820 1021112202 1701853670 2042224404 2552780505 3403707340 5105561010 10211122020