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211312101302302 = 271113296013960521
BaseRepresentation
bin110000000010111111101110…
…101111000010000000011110
31000201012020110122221121121111
4300002333232233002000132
5210144114140413133202
62025231234511052234
762336536601015320
oct6002775657020036
91021166418847544
10211312101302302
116136aa60321040
121b84984b21107a
1390ba851654830
143a277bb569610
151966aa54d86d7
hexc02feebc201e

211312101302302 has 128 divisors (see below), whose sum is σ = 440269370956800. Its totient is φ = 73373363481600.

The previous prime is 211312101302243. The next prime is 211312101302303. The reversal of 211312101302302 is 203203101213112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211312101302303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3491519802 + ... + 3491580322.

It is an arithmetic number, because the mean of its divisors is an integer number (3439604460600).

Almost surely, 2211312101302302 is an apocalyptic number.

211312101302302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211312101302302 is an abundant number, since it is smaller than the sum of its proper divisors (228957269654498).

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

211312101302302 is a wasteful number, since it uses less digits than its factorization.

211312101302302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120722.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 211312101302302 its reverse (203203101213112), we get a palindrome (414515202515414).

The spelling of 211312101302302 in words is "two hundred eleven trillion, three hundred twelve billion, one hundred one million, three hundred two thousand, three hundred two".

Divisors: 1 2 7 11 13 14 22 26 29 58 77 91 143 154 182 203 286 319 377 406 638 754 1001 2002 2233 2639 4147 4466 5278 8294 29029 58058 60139 60521 120278 121042 420973 423647 661529 665731 781807 786773 841946 847294 1323058 1331462 1563614 1573546 1744031 1755109 3488062 3510218 4630703 4660117 5472649 5507411 8599877 8654503 9261406 9320234 10945298 11014822 12208217 12285763 17199754 17309006 19184341 19306199 22672403 22816417 24416434 24571526 38368682 38612398 45344806 45632834 60199139 60581521 120398278 121163042 134290387 135143393 158706821 159714919 249396433 250980587 268580774 270286786 317413642 319429838 498792866 501961174 1745775031 1756864109 3491550062 3513728218 3639672419 7279344838 25477706933 40036396609 47315741447 50955413866 80072793218 94631482894 105550500151 211101000302 280254776263 331210190129 520473155917 560509552526 662420380258 738853501057 1040946311834 1161055501661 1372156501963 1477707002114 2322111003322 2744313003926 3643312091419 7286624182838 8127388511627 9605095513741 15093721521593 16254777023254 19210191027482 30187443043186 105656050651151 211312101302302