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211433021344 = 2543619192741
BaseRepresentation
bin1100010011101001100…
…0111101111110100000
3202012202010112100100101
43010322120331332200
511431003323140334
6241044143232144
721163336012516
oct3047230757640
9665663470311
10211433021344
1181739479376
1234b885a8654
1316c26b7a36c
14a33a6b04b6
15577704b214
hex313a63dfa0

211433021344 has 96 divisors (see below), whose sum is σ = 433551000960. Its totient is φ = 101417702400.

The previous prime is 211433021213. The next prime is 211433021353. The reversal of 211433021344 is 443120334112.

It is a happy 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, 77135814 + ... + 77138554.

It is an arithmetic number, because the mean of its divisors is an integer number (4516156260).

Almost surely, 2211433021344 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 211433021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216775500480).

211433021344 is an abundant number, since it is smaller than the sum of its proper divisors (222117979616).

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

211433021344 is a wasteful number, since it uses less digits than its factorization.

211433021344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 211433021344 its reverse (443120334112), we get a palindrome (654553355456).

The spelling of 211433021344 in words is "two hundred eleven billion, four hundred thirty-three million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 43 61 86 122 172 244 344 488 688 919 976 1376 1838 1952 2623 2741 3676 5246 5482 7352 10492 10964 14704 20984 21928 29408 39517 41968 43856 56059 79034 83936 87712 112118 117863 158068 167201 224236 235726 316136 334402 448472 471452 632272 668804 896944 942904 1264544 1337608 1793888 1885808 2410537 2518979 2675216 3771616 4821074 5037958 5350432 7189643 9642148 10075916 14379286 19284296 20151832 28758572 38568592 40303664 57517144 77137184 80607328 108316097 115034288 153657719 216632194 230068576 307315438 433264388 614630876 866528776 1229261752 1733057552 2458523504 3466115104 4917047008 6607281917 13214563834 26429127668 52858255336 105716510672 211433021344