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211022130024 = 233217199073879
BaseRepresentation
bin1100010010000111100…
…1100010101101101000
3202011200111100220102100
43010201321202231220
511424133131130044
6240535304333400
721150216336606
oct3044171425550
9664614326370
10211022130024
1181548544672
1234a92a74260
1316b8c9c45c4
14a2dbcb2876
155750e35869
hex3121e62b68

211022130024 has 96 divisors (see below), whose sum is σ = 636986376000. Its totient is φ = 62718644736.

The previous prime is 211022130001. The next prime is 211022130029. The reversal of 211022130024 is 420031220112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211022129979 and 211022130006.

It is not an unprimeable number, because it can be changed into a prime (211022130029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4513684 + ... + 4560195.

It is an arithmetic number, because the mean of its divisors is an integer number (6635274750).

Almost surely, 2211022130024 is an apocalyptic number.

211022130024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211022130024 is an abundant number, since it is smaller than the sum of its proper divisors (425964245976).

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

211022130024 is a wasteful number, since it uses less digits than its factorization.

211022130024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9073927 (or 9073920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211022130024 its reverse (420031220112), we get a palindrome (631053350136).

The spelling of 211022130024 in words is "two hundred eleven billion, twenty-two million, one hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 969 1224 1292 1368 1938 2584 2907 3876 5814 7752 11628 23256 9073879 18147758 27221637 36295516 54443274 72591032 81664911 108886548 154255943 163329822 172403701 217773096 308511886 326659644 344807402 462767829 517211103 617023772 653319288 689614804 925535658 1034422206 1234047544 1379229608 1388303487 1551633309 1851071316 2068844412 2776606974 2930862917 3103266618 3702142632 4137688824 5553213948 5861725834 6206533236 8792588751 11106427896 11723451668 12413066472 17585177502 23446903336 26377766253 35170355004 52755532506 70340710008 105511065012 211022130024