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211200321132 = 22357310312887
BaseRepresentation
bin1100010010110010000…
…1010010011001101100
3202012010220122221200000
43010230201102121230
511430014240234012
6241005111504300
721154512052323
oct3045441223154
9665126587600
10211200321132
118162a091249
1234b22688090
1316bba8b4028
14a3178190ba
1557618d2ddc
hex312c85266c

211200321132 has 144 divisors (see below), whose sum is σ = 561963397632. Its totient is φ = 69344346240.

The previous prime is 211200321127. The next prime is 211200321161. The reversal of 211200321132 is 231123002112.

211200321132 is a `hidden beast` number, since 2 + 11 + 200 + 321 + 132 = 666.

It is a super-2 number, since 2×2112003211322 (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 73154193 + ... + 73157079.

Almost surely, 2211200321132 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 211200321132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280981698816).

211200321132 is an abundant number, since it is smaller than the sum of its proper divisors (350763076500).

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

211200321132 is a wasteful number, since it uses less digits than its factorization.

211200321132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211200321132 its reverse (231123002112), we get a palindrome (442323323244).

The spelling of 211200321132 in words is "two hundred eleven billion, two hundred million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 243 292 324 438 486 657 876 972 1031 1314 1971 2062 2628 2887 3093 3942 4124 5774 5913 6186 7884 8661 9279 11548 11826 12372 17322 17739 18558 23652 25983 27837 34644 35478 37116 51966 55674 70956 75263 77949 83511 103932 111348 150526 155898 167022 210751 225789 233847 250533 301052 311796 334044 421502 451578 467694 501066 632253 677367 701541 843004 903156 935388 1002132 1264506 1354734 1403082 1896759 2032101 2529012 2709468 2806164 2976497 3793518 4064202 5690277 5952994 6096303 7587036 8128404 8929491 11380554 11905988 12192606 17070831 17858982 18288909 22761108 24385212 26788473 34141662 35717964 36577818 51212493 53576946 68283324 73155636 80365419 102424986 107153892 160730838 204849972 217284281 241096257 321461676 434568562 482192514 651852843 723288771 869137124 964385028 1303705686 1446577542 1955558529 2607411372 2893155084 3911117058 5866675587 7822234116 11733351174 17600026761 23466702348 35200053522 52800080283 70400107044 105600160566 211200321132