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21024366342012 = 223211192794307063
BaseRepresentation
bin1001100011111000111011…
…11000110010111101111100
32202102220120020110100121100
410301330131320302331330
510223430400240421022
6112414243251533100
74266650253200625
oct461743570627574
982386506410540
1021024366342012
116776424772370
1224367b58ba190
13b96787734217
14529828822a4c
15266d5a8541ac
hex131f1de32f7c

21024366342012 has 72 divisors (see below), whose sum is σ = 61027666277760. Its totient is φ = 6035703253920.

The previous prime is 21024366341969. The next prime is 21024366342127.

21024366342012 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 4 + 3 + 6 + 634 + 2 + 0 + 12 = 666.

21024366342012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1397146008 + ... + 1397161055.

It is an arithmetic number, because the mean of its divisors is an integer number (847606476080).

Almost surely, 221024366342012 is an apocalyptic number.

21024366342012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21024366342012 is an abundant number, since it is smaller than the sum of its proper divisors (40003299935748).

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

21024366342012 is a wasteful number, since it uses less digits than its factorization.

21024366342012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794307103 (or 2794307098 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 2102436 and 6342012, that added together give a palindrome (8444448).

The spelling of 21024366342012 in words is "twenty-one trillion, twenty-four billion, three hundred sixty-six million, three hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 2794307063 5588614126 8382921189 11177228252 16765842378 25148763567 30737377693 33531684756 50297527134 53091834197 61474755386 92212133079 100595054268 106183668394 122949510772 159275502591 184424266158 212367336788 276636399237 318551005182 368848532316 477826507773 553272798474 584010176167 637102010364 955653015546 1106545596948 1168020352334 1752030528501 1911306031092 2336040704668 3504061057002 5256091585503 7008122114004 10512183171006 21024366342012