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1213063561242 = 233134343392809
BaseRepresentation
bin10001101001110000001…
…110010000000000011010
311021222010111002210002000
4101221300032100000122
5124333323232424432
62325135042021430
7153432563066301
oct21516016200032
94258114083060
101213063561242
11428503834aa5
12177124647876
138a511bb25c0
14429d94bb438
152184b9e557c
hex11a7039001a

1213063561242 has 128 divisors (see below), whose sum is σ = 2977463596800. Its totient is φ = 363724204032.

The previous prime is 1213063561093. The next prime is 1213063561261. The reversal of 1213063561242 is 2421653603121.

1213063561242 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 6 + 35 + 612 + 4 + 2 = 666.

It is a super-2 number, since 2×12130635612422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1213063561197 and 1213063561206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13024134 + ... + 13116942.

It is an arithmetic number, because the mean of its divisors is an integer number (23261434350).

Almost surely, 21213063561242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213063561242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488731798400).

1213063561242 is an abundant number, since it is smaller than the sum of its proper divisors (1764400035558).

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

1213063561242 is a wasteful number, since it uses less digits than its factorization.

1213063561242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93309 (or 93303 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1213063561242 in words is "one trillion, two hundred thirteen billion, sixty-three million, five hundred sixty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 86 117 129 234 258 351 387 433 559 702 774 866 1118 1161 1299 1677 2322 2598 3354 3897 5031 5629 7794 10062 11258 11691 15093 16887 18619 23382 30186 33774 37238 50661 55857 92809 101322 111714 151983 167571 185618 242047 278427 303966 335142 484094 502713 556854 726141 835281 1005426 1206517 1452282 1670562 2178423 2413034 2505843 3619551 3990787 4356846 5011686 6535269 7239102 7981574 10858653 11972361 13070538 21717306 23944722 32575959 35917083 40186297 51880231 65151918 71834166 80372594 103760462 107751249 120558891 155640693 215502498 241117782 311281386 361676673 466922079 522421861 723353346 933844158 1044843722 1085030019 1400766237 1567265583 1728010771 2170060038 2801532474 3134531166 3456021542 4701796749 5184032313 9403593498 10368064626 14105390247 15552096939 22464140023 28210780494 31104193878 44928280046 46656290817 67392420069 93312581634 134784840138 202177260207 404354520414 606531780621 1213063561242