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3212102121312 = 253741911407909
BaseRepresentation
bin101110101111100000001…
…101001011011101100000
3102101001222220211102101210
4232233200031023131200
5410111341120340222
610455341440030120
7451031612353440
oct56574015133540
912331886742353
103212102121312
1110292769a9827
1243a63a602340
131a3b911baab6
14b16763ba120
155884a3abd0c
hex2ebe034b760

3212102121312 has 96 divisors (see below), whose sum is σ = 9659305555200. Its totient is φ = 915553064448.

The previous prime is 3212102121259. The next prime is 3212102121331. The reversal of 3212102121312 is 2131212012123.

3212102121312 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 Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5422387 + ... + 5985522.

It is an arithmetic number, because the mean of its divisors is an integer number (100617766200).

Almost surely, 23212102121312 is an apocalyptic number.

3212102121312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3212102121312 is an abundant number, since it is smaller than the sum of its proper divisors (6447203433888).

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

3212102121312 is a wasteful number, since it uses less digits than its factorization.

3212102121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11408348 (or 11408340 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 3212102121312 its reverse (2131212012123), we get a palindrome (5343314133435).

The spelling of 3212102121312 in words is "three trillion, two hundred twelve billion, one hundred two million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 419 672 838 1257 1676 2514 2933 3352 5028 5866 6704 8799 10056 11732 13408 17598 20112 23464 35196 40224 46928 70392 93856 140784 281568 11407909 22815818 34223727 45631636 68447454 79855363 91263272 136894908 159710726 182526544 239566089 273789816 319421452 365053088 479132178 547579632 638842904 958264356 1095159264 1277685808 1916528712 2555371616 3833057424 4779913871 7666114848 9559827742 14339741613 19119655484 28679483226 33459397097 38239310968 57358966452 66918794194 76478621936 100378191291 114717932904 133837588388 152957243872 200756382582 229435865808 267675176776 401512765164 458871731616 535350353552 803025530328 1070700707104 1606051060656 3212102121312