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21003012212112 = 2432722976617377
BaseRepresentation
bin1001100011010001001010…
…00101010000010110010000
32202100212110000220011100100
410301220211011100112100
510223103132111241422
6112400352310452400
74265263136115300
oct461504505202620
982325400804310
1021003012212112
116768366934527
122432636364100
13b9476364b4b8
145287a0769600
1526650aca47ac
hex131a25150590

21003012212112 has 90 divisors (see below), whose sum is σ = 68375877790038. Its totient is φ = 6000860630016.

The previous prime is 21003012212053. The next prime is 21003012212141. The reversal of 21003012212112 is 21121221030012.

21003012212112 is a `hidden beast` number, since 210 + 0 + 301 + 22 + 121 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17387598984336 + 3615413227776 = 4169844^2 + 1901424^2 .

It is a super-2 number, since 2×210030122121122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1488301633 + ... + 1488315744.

Almost surely, 221003012212112 is an apocalyptic number.

It is an amenable number.

21003012212112 is an abundant number, since it is smaller than the sum of its proper divisors (47372865577926).

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

21003012212112 is a wasteful number, since it uses less digits than its factorization.

21003012212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976617405 (or 2976617389 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21003012212112 its reverse (21121221030012), we get a palindrome (42124233242124).

The spelling of 21003012212112 in words is "twenty-one trillion, three billion, twelve million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 2976617377 5953234754 8929852131 11906469508 17859704262 20836321639 23812939016 26789556393 35719408524 41672643278 47625878032 53579112786 62508964917 71438817048 83345286556 107158225572 125017929834 142877634096 145854251473 166690573112 187526894751 214316451144 250035859668 291708502946 333381146224 375053789502 428632902288 437562754419 500071719336 583417005892 750107579004 875125508838 1000143438672 1166834011784 1312688263257 1500215158008 1750251017676 2333668023568 2625376526514 3000430316016 3500502035352 5250753053028 7001004070704 10501506106056 21003012212112