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213301403242344 = 23323947973977069
BaseRepresentation
bin110000011111111100011010…
…010111101100111101101000
31000222020102012112111201012200
4300133330122113230331220
5210424212233212223334
62033353151211340200
762633342421350244
oct6037743227547550
91028212175451180
10213301403242344
1161a6768741305a
121bb0b2a8451660
13920330b6bb3c1
143a95bb32a5424
15199d6d41ba799
hexc1ff1a5ecf68

213301403242344 has 96 divisors (see below), whose sum is σ = 577904493348000. Its totient is φ = 71074232977536.

The previous prime is 213301403242331. The next prime is 213301403242351. The reversal of 213301403242344 is 443242304103312.

213301403242344 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 0 + 1 + 403 + 242 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×2133014032423442 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 213301403242299 and 213301403242308.

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, 2767629442 + ... + 2767706510.

It is an arithmetic number, because the mean of its divisors is an integer number (6019838472375).

Almost surely, 2213301403242344 is an apocalyptic number.

213301403242344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213301403242344 is an abundant number, since it is smaller than the sum of its proper divisors (364603090105656).

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

213301403242344 is a wasteful number, since it uses less digits than its factorization.

213301403242344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90767 (or 90760 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 213301403242344 its reverse (443242304103312), we get a palindrome (656543707345656).

The spelling of 213301403242344 in words is "two hundred thirteen trillion, three hundred one billion, four hundred three million, two hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3947 7894 9739 11841 15788 19478 23682 29217 31576 35523 38956 47364 58434 71046 77069 77912 87651 94728 116868 142092 154138 175302 231207 233736 284184 308276 350604 462414 616552 693621 701208 924828 1387242 1849656 2774484 5548968 38439833 76879666 115319499 153759332 230638998 304191343 307518664 345958497 461277996 608382686 691916994 750574991 912574029 922555992 1216765372 1383833988 1501149982 1825148058 2251724973 2433530744 2737722087 2767667976 3002299964 3650296116 4503449946 5475444174 6004599928 6755174919 7300592232 9006899892 10950888348 13510349838 18013799784 21901776696 27020699676 54041399352 2962519489477 5925038978954 8887558468431 11850077957908 17775116936862 23700155915816 26662675405293 35550233873724 53325350810586 71100467747448 106650701621172 213301403242344