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21003003113220 = 22325228757418887
BaseRepresentation
bin1001100011010001001001…
…00010100010111100000100
32202100212102101202220000100
410301220210202202330010
510223103122244110340
6112400351343444100
74265262665561022
oct461504442427404
982325371686010
1021003003113220
11676836178a387
1224326332b6630
13b947617b3b3b
1452879d47b712
1526650a0a8830
hex131a248a2f04

21003003113220 has 144 divisors (see below), whose sum is σ = 63755241758208. Its totient is φ = 5596746865920.

The previous prime is 21003003113093. The next prime is 21003003113231. The reversal of 21003003113220 is 2231130030012.

21003003113220 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 30 + 0 + 311 + 322 + 0 = 666.

It is a super-2 number, since 2×210030031132202 (a number of 27 digits) contains 22 as substring.

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 = 21003003113193 and 21003003113202.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2363335617 + ... + 2363344503.

It is an arithmetic number, because the mean of its divisors is an integer number (442744734432).

Almost surely, 221003003113220 is an apocalyptic number.

21003003113220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21003003113220 is an abundant number, since it is smaller than the sum of its proper divisors (42752238644988).

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

21003003113220 is a wasteful number, since it uses less digits than its factorization.

21003003113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16930 (or 16925 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21003003113220 its reverse (2231130030012), we get a palindrome (23234133143232).

The spelling of 21003003113220 in words is "twenty-one trillion, three billion, three million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2287 4574 5741 6861 8887 9148 11435 11482 13722 17223 17774 20583 22870 22964 26661 27444 28705 34305 34446 35548 41166 44435 45740 51669 53322 57410 68610 68892 79983 82332 86115 88870 102915 103338 106644 114820 133305 137220 159966 172230 177740 205830 206676 258345 266610 319932 344460 399915 411660 516690 533220 799830 1033380 1599660 13129667 20324569 26259334 39389001 40649138 51020267 52518668 60973707 65648335 78778002 81298276 101622845 102040534 118167003 121947414 131296670 153060801 157556004 182921121 196945005 203245690 204081068 236334006 243894828 255101335 262593340 304868535 306121602 365842242 393890010 406491380 459182403 472668012 510202670 590835015 609737070 612243204 731684484 765304005 787780020 914605605 918364806 1020405340 1181670030 1219474140 1530608010 1829211210 1836729612 2295912015 2363340060 3061216020 3658422420 4591824030 9183648060 116683350629 233366701258 350050051887 466733402516 583416753145 700100103774 1050150155661 1166833506290 1400200207548 1750250259435 2100300311322 2333667012580 3500500518870 4200600622644 5250750778305 7001001037740 10501501556610 21003003113220