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22011043100 = 2252532127617
BaseRepresentation
bin10100011111111101…
…011101110100011100
32002210222122211202112
4110133331131310130
5330034311334400
614040045013152
71406311531214
oct243775356434
962728584675
1022011043100
119375729512
1243235541b8
1320ca21a577
1410cb417244
1588c5b0835
hex51ff5dd1c

22011043100 has 108 divisors (see below), whose sum is σ = 49145021184. Its totient is φ = 8556387840.

The previous prime is 22011043013. The next prime is 22011043111. The reversal of 22011043100 is 134011022.

It is a super-2 number, since 2×220110431002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35673992 + ... + 35674608.

Almost surely, 222011043100 is an apocalyptic number.

22011043100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22011043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24572510592).

22011043100 is an abundant number, since it is smaller than the sum of its proper divisors (27133978084).

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

22011043100 is a wasteful number, since it uses less digits than its factorization.

22011043100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22011043100 its reverse (134011022), we get a palindrome (22145054122).

The spelling of 22011043100 in words is "twenty-two billion, eleven million, forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 127 212 254 265 508 530 617 635 1060 1234 1270 1325 2468 2540 2650 2809 3085 3175 5300 5618 6170 6350 6731 11236 12340 12700 13462 14045 15425 26924 28090 30850 32701 33655 56180 61700 65402 67310 70225 78359 130804 134620 140450 156718 163505 168275 280900 313436 327010 336550 356743 391795 654020 673100 713486 783590 817525 1426972 1567180 1635050 1733153 1783715 1958975 3270100 3466306 3567430 3917950 4153027 6932612 7134860 7835900 8306054 8665765 8918575 16612108 17331530 17837150 20765135 34663060 35674300 41530270 43328825 83060540 86657650 103825675 173315300 207651350 220110431 415302700 440220862 880441724 1100552155 2201104310 4402208620 5502760775 11005521550 22011043100