Search a number
-
+
21121200001992 = 23319295527288979
BaseRepresentation
bin1001100110101101010011…
…00111111001001111001000
32202210011111202001221220110
410303112221213321033020
510232022204200030432
6112530540105154320
74306646011550256
oct463265147711710
982704452057813
1021121200001992
1168034a5855332
12245151b18b9a0
13ba294a25bc8c
145303b313b5d6
15269626adddcc
hex1335a99f93c8

21121200001992 has 128 divisors (see below), whose sum is σ = 57509331840000. Its totient is φ = 6438670269696.

The previous prime is 21121200001987. The next prime is 21121200002009. The reversal of 21121200001992 is 29910000212112.

It is a super-2 number, since 2×211212000019922 (a number of 27 digits) contains 22 as substring.

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, 72944559 + ... + 73233537.

It is an arithmetic number, because the mean of its divisors is an integer number (449291655000).

Almost surely, 221121200001992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121200001992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28754665920000).

21121200001992 is an abundant number, since it is smaller than the sum of its proper divisors (36388131838008).

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

21121200001992 is a wasteful number, since it uses less digits than its factorization.

21121200001992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294563 (or 294559 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 21121200001992 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred million, one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 456 551 696 1102 1653 2204 3306 4408 5527 6612 11054 13224 16581 22108 33162 44216 66324 105013 132648 160283 210026 288979 315039 320566 420052 480849 577958 630078 641132 840104 866937 961698 1155916 1260156 1282264 1733874 1923396 2311832 2520312 3045377 3467748 3846792 5490601 6090754 6935496 8380391 9136131 10981202 12181508 16471803 16760782 18272262 21962404 24363016 25141173 32943606 33521564 36544524 43924808 50282346 65887212 67043128 73089048 100564692 131774424 159227429 201129384 318454858 477682287 636909716 955364574 1273819432 1597186933 1910729148 3194373866 3821458296 4791560799 6388747732 9583121598 12777495464 19166243196 30346551727 38332486392 46318421057 60693103454 91039655181 92636842114 121386206908 138955263171 182079310362 185273684228 242772413816 277910526342 364158620724 370547368456 555821052684 728317241448 880050000083 1111642105368 1760100000166 2640150000249 3520200000332 5280300000498 7040400000664 10560600000996 21121200001992