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10212347067054 = 23111753487352637
BaseRepresentation
bin1001010010011011111101…
…0100011011101010101110
31100011021212000200221011120
42110212333110123222232
52314304341322121204
633415253143401410
72102550323545326
oct224467724335256
940137760627146
1010212347067054
113288039758470
12118b27a453266
135910354a9422
142743ccd74286
1512a9a73426d9
hex949bf51baae

10212347067054 has 128 divisors (see below), whose sum is σ = 24086721364992. Its totient is φ = 2851781437440.

The previous prime is 10212347067031. The next prime is 10212347067101. The reversal of 10212347067054 is 45076074321201.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10212347066997 and 10212347067015.

It is a congruent number.

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, 28783624 + ... + 29136260.

It is an arithmetic number, because the mean of its divisors is an integer number (188177510664).

Almost surely, 210212347067054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212347067054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12043360682496).

10212347067054 is an abundant number, since it is smaller than the sum of its proper divisors (13874374297938).

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

10212347067054 is a wasteful number, since it uses less digits than its factorization.

10212347067054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353210.

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 10212347067054 in words is "ten trillion, two hundred twelve billion, three hundred forty-seven million, sixty-seven thousand, fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 53 66 102 106 159 187 318 374 487 561 583 901 974 1122 1166 1461 1749 1802 2703 2922 3498 5357 5406 8279 9911 10714 16071 16558 19822 24837 25811 29733 32142 49674 51622 59466 77433 91069 154866 182138 273207 283921 352637 438787 546414 567842 705274 851763 877574 1057911 1316361 1703526 2115822 2632722 3879007 4826657 5994829 7758014 9653314 11637021 11989658 14479971 17984487 18689761 23274042 28959942 35968974 37379522 56069283 65943119 112138566 131886238 171734219 197829357 205587371 317725937 343468438 395658714 411174742 515202657 616762113 635451874 953177811 1030405314 1233524226 1889076409 1906355622 2919481723 3494985307 3778152818 5667229227 5838963446 6989970614 8758445169 9101913607 10484955921 11334458454 17516890338 18203827214 20969911842 27305740821 32114298953 54611481642 64228597906 96342896859 100121049677 154732531319 192685793718 200242099354 300363149031 309465062638 464197593957 600726298062 928395187914 1702057844509 3404115689018 5106173533527 10212347067054