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212102111312 = 247136122310709
BaseRepresentation
bin1100010110001001000…
…1010110000001010000
3202021110202112122020022
43011202101112001100
511433341120030222
6241234404203012
721216042125240
oct3054221260120
9667422478208
10212102111312
1181a52126593
1235134699468
13170026864a0
14a3a14bdb20
1557b5b65042
hex3162456050

212102111312 has 160 divisors (see below), whose sum is σ = 516426946560. Its totient is φ = 82155202560.

The previous prime is 212102111269. The next prime is 212102111317. The reversal of 212102111312 is 213111201212.

It is a happy number.

It is a super-2 number, since 2×2121021113122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102111317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19800614 + ... + 19811322.

It is an arithmetic number, because the mean of its divisors is an integer number (3227668416).

Almost surely, 2212102111312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258213473280).

212102111312 is an abundant number, since it is smaller than the sum of its proper divisors (304324835248).

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

212102111312 is a wasteful number, since it uses less digits than its factorization.

212102111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021 (or 11015 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 212102111312 its reverse (213111201212), we get a palindrome (425213312524).

The spelling of 212102111312 in words is "two hundred twelve billion, one hundred two million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 61 91 104 112 122 182 208 223 244 364 427 446 488 728 793 854 892 976 1456 1561 1586 1708 1784 2899 3122 3172 3416 3568 5551 5798 6244 6344 6832 10709 11102 11596 12488 12688 13603 20293 21418 22204 23192 24976 27206 40586 42836 44408 46384 54412 74963 81172 85672 88816 95221 108824 139217 149926 162344 171344 176839 190442 217648 278434 299852 324688 353678 380884 556868 599704 653249 707356 761768 974519 1113736 1199408 1237873 1306498 1414712 1523536 1949038 2227472 2388107 2475746 2612996 2829424 3898076 4572743 4776214 4951492 5225992 7796152 8492237 9145486 9552428 9902984 10451984 15592304 16716749 16984474 18290972 19104856 19805968 31045391 33433498 33968948 36581944 38209712 59445659 62090782 66866996 67937896 73163888 118891318 124181564 133733992 135875792 145674527 217317737 237782636 248363128 267467984 291349054 434635474 475565272 496726256 582698108 869270948 951130544 1019721689 1165396216 1738541896 1893768851 2039443378 2330792432 3477083792 3787537702 4078886756 7575075404 8157773512 13256381957 15150150808 16315547024 26512763914 30300301616 53025527828 106051055656 212102111312