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221120010112 = 273164498641
BaseRepresentation
bin1100110111101111000…
…1111001011110000000
3210010202020022100210011
43031323301321132000
512110323210310422
6245325305114304
721655363034341
oct3157361713600
9703666270704
10221120010112
118585a532411
1236a30788994
1317b0ba62691
14a9b90340c8
155b426ca077
hex337bc79780

221120010112 has 64 divisors (see below), whose sum is σ = 454845744000. Its totient is φ = 106964582400.

The previous prime is 221120010053. The next prime is 221120010113. The reversal of 221120010112 is 211010021122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 221120010092 and 221120010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120010113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25585312 + ... + 25593952.

It is an arithmetic number, because the mean of its divisors is an integer number (7106964750).

Almost surely, 2221120010112 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 221120010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227422872000).

221120010112 is an abundant number, since it is smaller than the sum of its proper divisors (233725733888).

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

221120010112 is an equidigital number, since it uses as much as digits as its factorization.

221120010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15135 (or 15123 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221120010112 its reverse (211010021122), we get a palindrome (432130031234).

The spelling of 221120010112 in words is "two hundred twenty-one billion, one hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 6449 8641 12898 17282 25796 34564 51592 69128 103184 138256 199919 206368 267871 276512 399838 412736 535742 553024 799676 825472 1071484 1106048 1599352 2142968 3198704 4285936 6397408 8571872 12794816 17143744 25589632 34287488 55725809 111451618 222903236 445806472 891612944 1727500079 1783225888 3455000158 3566451776 6910000316 7132903552 13820000632 27640001264 55280002528 110560005056 221120010112