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21110100402000 = 2435314957235231
BaseRepresentation
bin1001100110011000101000…
…00010010001111101010000
32202202002212012012212011110
410303030110002101331100
510231331441200331000
6112521502442213320
74306103652526401
oct463142402217520
982662765185143
1021110100402000
1167a981a3795a5
12244b341ab4240
13ba189b800c2c
1452da3cd419a8
152691c7428850
hex133314091f50

21110100402000 has 160 divisors (see below), whose sum is σ = 68063803352064. Its totient is φ = 5628959808000.

The previous prime is 21110100401989. The next prime is 21110100402047. The reversal of 21110100402000 is 20400101112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 89624385 + ... + 89859615.

Almost surely, 221110100402000 is an apocalyptic number.

21110100402000 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 21110100402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34031901676032).

21110100402000 is an abundant number, since it is smaller than the sum of its proper divisors (46953702950064).

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

21110100402000 is a wasteful number, since it uses less digits than its factorization.

21110100402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250214 (or 250198 counting only the distinct ones).

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

Adding to 21110100402000 its reverse (20400101112), we get a palindrome (21130500503112).

The spelling of 21110100402000 in words is "twenty-one trillion, one hundred ten billion, one hundred million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 14957 29914 44871 59828 74785 89742 119656 149570 179484 224355 235231 239312 299140 358968 373925 448710 470462 598280 705693 717936 747850 897420 940924 1121775 1176155 1196560 1411386 1495700 1794840 1869625 1881848 2243550 2352310 2822772 2991400 3528465 3589680 3739250 3763696 4487100 4704620 5608875 5645544 5880775 5982800 7056930 7478500 8974200 9409240 11217750 11291088 11761550 14113860 14957000 17642325 17948400 18818480 22435500 23523100 28227720 29403875 29914000 35284650 44871000 47046200 56455440 58807750 70569300 88211625 89742000 94092400 117615500 141138600 176423250 235231000 282277200 352846500 470462000 705693000 1411386000 3518350067 7036700134 10555050201 14073400268 17591750335 21110100402 28146800536 35183500670 42220200804 52775251005 56293601072 70367001340 84440401608 87958751675 105550502010 140734002680 168880803216 175917503350 211101004020 263876255025 281468005360 351835006700 422202008040 439793758375 527752510050 703670013400 844404016080 879587516750 1055505020100 1319381275125 1407340026800 1759175033500 2111010040200 2638762550250 3518350067000 4222020080400 5277525100500 7036700134000 10555050201000 21110100402000