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22122120002010 = 2357893893042761
BaseRepresentation
bin1010000011110101101010…
…00110101011100111011010
32220022212001120122020011020
411001322311012223213122
510344422100210031020
6115014432302343310
74442161520304150
oct501726506534732
986285046566136
1022122120002010
117059a36022916
1225934b928ab36
13c46151004612
14566a058293d0
152856a8ed2c40
hex141eb51ab9da

22122120002010 has 128 divisors (see below), whose sum is σ = 61517345011200. Its totient is φ = 4986815877120.

The previous prime is 22122120001873. The next prime is 22122120002107. The reversal of 22122120002010 is 1020002122122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5749030 + ... + 8791790.

It is an arithmetic number, because the mean of its divisors is an integer number (480604257900).

Almost surely, 222122120002010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122120002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30758672505600).

22122120002010 is an abundant number, since it is smaller than the sum of its proper divisors (39395225009190).

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

22122120002010 is a wasteful number, since it uses less digits than its factorization.

22122120002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043256.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22122120002010 its reverse (1020002122122), we get a palindrome (23142122124132).

The spelling of 22122120002010 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 89 105 178 210 267 389 445 534 623 778 890 1167 1246 1335 1869 1945 2334 2670 2723 3115 3738 3890 5446 5835 6230 8169 9345 11670 13615 16338 18690 27230 34621 40845 69242 81690 103863 173105 207726 242347 346210 484694 519315 727041 1038630 1211735 1454082 2423470 3042761 3635205 6085522 7270410 9128283 15213805 18256566 21299327 30427610 42598654 45641415 63897981 91282830 106496635 127795962 212993270 270805729 319489905 541611458 638979810 812417187 1183634029 1354028645 1624834374 1895640103 2367268058 2708057290 3550902087 3791280206 4062085935 5686920309 5918170145 7101804174 8124171870 8285438203 9478200515 11373840618 11836340290 16570876406 17754510435 18956401030 24856314609 28434601545 35509020870 41427191015 49712629218 56869203090 82854382030 105343428581 124281573045 210686857162 248563146090 316030285743 526717142905 632060571486 737404000067 1053434285810 1474808000134 1580151428715 2212212000201 3160302857430 3687020000335 4424424000402 7374040000670 11061060001005 22122120002010