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1001212212096 = 27321945742517
BaseRepresentation
bin11101001000111001110…
…01011111001110000000
310112201022012102011212100
432210130321133032000
5112400440311241341
62043541152230400
7132222654246045
oct16443471371600
93481265364770
101001212212096
11356680212878
1214205bb3b400
137354c4776c5
143665d4351cc
151b09cdb53b6
hexe91ce5f380

1001212212096 has 96 divisors (see below), whose sum is σ = 3032728943400. Its totient is φ = 316172270592.

The previous prime is 1001212212083. The next prime is 1001212212097. The reversal of 1001212212096 is 6902122121001.

1001212212096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10012122120963 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001212212097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22849371 + ... + 22893146.

Almost surely, 21001212212096 is an apocalyptic number.

1001212212096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1001212212096 is an abundant number, since it is smaller than the sum of its proper divisors (2031516731304).

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

1001212212096 is a wasteful number, since it uses less digits than its factorization.

1001212212096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45742556 (or 45742541 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 1001212212096 its reverse (6902122121001), we get a palindrome (7903334333097).

The spelling of 1001212212096 in words is "one trillion, one billion, two hundred twelve million, two hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 45742517 91485034 137227551 182970068 274455102 365940136 411682653 548910204 731880272 823365306 869107823 1097820408 1463760544 1646730612 1738215646 2195640816 2607323469 2927521088 3293461224 3476431292 4391281632 5214646938 5855042176 6586922448 6952862584 7821970407 8782563264 10429293876 13173844896 13905725168 15643940814 17565126528 20858587752 26347689792 27811450336 31287881628 41717175504 52695379584 55622900672 62575763256 83434351008 111245801344 125151526512 166868702016 250303053024 333737404032 500606106048 1001212212096