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213210133312 = 26115323923909
BaseRepresentation
bin1100011010010001010…
…0000111001101000000
3202101022222110222200011
43012210110013031000
511443123243231222
6241540345034304
721255355142131
oct3064424071500
9671288428604
10213210133312
118247061a950
12353a3785994
131714b0b55c7
14a468709c88
15582d082c77
hex31a4507340

213210133312 has 112 divisors (see below), whose sum is σ = 472247366400. Its totient is φ = 94683330560.

The previous prime is 213210133303. The next prime is 213210133337. The reversal of 213210133312 is 213331012312.

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

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, 8905614 + ... + 8929522.

Almost surely, 2213210133312 is an apocalyptic number.

213210133312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213210133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236123683200).

213210133312 is an abundant number, since it is smaller than the sum of its proper divisors (259037233088).

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

213210133312 is a wasteful number, since it uses less digits than its factorization.

213210133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24224 (or 24214 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 213210133312 its reverse (213331012312), we get a palindrome (426541145624).

The spelling of 213210133312 in words is "two hundred thirteen billion, two hundred ten million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 176 212 239 352 424 478 583 704 848 956 1166 1696 1912 2332 2629 3392 3824 4664 5258 7648 9328 10516 12667 15296 18656 21032 23909 25334 37312 42064 47818 50668 84128 95636 101336 139337 168256 191272 202672 262999 278674 382544 405344 525998 557348 765088 810688 1051996 1114696 1267177 1530176 2103992 2229392 2534354 4207984 4458784 5068708 5714251 8415968 8917568 10137416 11428502 13938947 16831936 20274832 22857004 27877894 40549664 45714008 55755788 62856761 81099328 91428016 111511576 125713522 182856032 223023152 251427044 302855303 365712064 446046304 502854088 605710606 892092608 1005708176 1211421212 2011416352 2422842424 3331408333 4022832704 4845684848 6662816666 9691369696 13325633332 19382739392 26651266664 53302533328 106605066656 213210133312