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200110010112 = 2837357421
BaseRepresentation
bin1011101001011101111…
…1000110111100000000
3201010112000021210000000
42322113133012330000
511234311130310422
6231532420000000
720312625010125
oct2722737067400
9633460253000
10200110010112
117795897a451
1232948530000
1315b4105900c
14998495a74c
155312e54cac
hex2e977c6f00

200110010112 has 144 divisors (see below), whose sum is σ = 599067865760. Its totient is φ = 66703150080.

The previous prime is 200110010057. The next prime is 200110010147. The reversal of 200110010112 is 211010011002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2001100101122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200110010094 and 200110010103.

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, 381162 + ... + 738582.

Almost surely, 2200110010112 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 200110010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299533932880).

200110010112 is an abundant number, since it is smaller than the sum of its proper divisors (398957855648).

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

200110010112 is an frugal number, since it uses more digits than its factorization.

200110010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357458 (or 357426 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200110010112 its reverse (211010011002), we get a palindrome (411120021114).

The spelling of 200110010112 in words is "two hundred billion, one hundred ten million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2187 2304 2592 2916 3456 3888 4374 5184 5832 6912 7776 8748 10368 11664 15552 17496 20736 23328 31104 34992 46656 62208 69984 93312 139968 186624 279936 357421 559872 714842 1072263 1429684 2144526 2859368 3216789 4289052 5718736 6433578 8578104 9650367 11437472 12867156 17156208 19300734 22874944 25734312 28951101 34312416 38601468 45749888 51468624 57902202 68624832 77202936 86853303 91499776 102937248 115804404 137249664 154405872 173706606 205874496 231608808 260559909 274499328 308811744 347413212 411748992 463217616 521119818 617623488 694826424 781679727 823497984 926435232 1042239636 1235246976 1389652848 1563359454 1852870464 2084479272 2470493952 2779305696 3126718908 3705740928 4168958544 5558611392 6253437816 7411481856 8337917088 11117222784 12506875632 16675834176 22234445568 25013751264 33351668352 50027502528 66703336704 100055005056 200110010112