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2201313230316 = 2232176797553457
BaseRepresentation
bin100000000010001000011…
…111100011110111101100
321210102222022012112210100
4200002020133203313230
5242031242141332231
64403134102111100
7315016410504624
oct40021037436754
97712868175710
102201313230316
11779631a263a2
122b676741b490
1312c7769714b5
1478789137884
153c3db8a71e6
hex200887e3dec

2201313230316 has 144 divisors (see below), whose sum is σ = 6041343855456. Its totient is φ = 673285865472.

The previous prime is 2201313230297. The next prime is 2201313230317. The reversal of 2201313230316 is 6130323131022.

2201313230316 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 313 + 2 + 30 + 316 = 666.

It is a super-2 number, since 2×22013132303162 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2201313230316.

It is not an unprimeable number, because it can be changed into a prime (2201313230317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3700660 + ... + 4254116.

It is an arithmetic number, because the mean of its divisors is an integer number (41953776774).

Almost surely, 22201313230316 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 2201313230316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020671927728).

2201313230316 is an abundant number, since it is smaller than the sum of its proper divisors (3840030625140).

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

2201313230316 is a wasteful number, since it uses less digits than its factorization.

2201313230316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553648 (or 553643 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 2201313230316 its reverse (6130323131022), we get a palindrome (8331636361338).

The spelling of 2201313230316 in words is "two trillion, two hundred one billion, three hundred thirteen million, two hundred thirty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 67 68 97 102 134 153 194 201 204 268 291 306 388 402 582 603 612 804 873 1139 1164 1206 1649 1746 2278 2412 3298 3417 3492 4556 4947 6499 6596 6834 9894 10251 12998 13668 14841 19497 19788 20502 25996 29682 38994 41004 58491 59364 77988 110483 116982 220966 233964 331449 441932 553457 662898 994347 1106914 1325796 1660371 1988694 2213828 3320742 3977388 4981113 6641484 9408769 9962226 18817538 19924452 28226307 37081619 37635076 53685329 56452614 74163238 84678921 107370658 111244857 112905228 148326476 161055987 169357842 214741316 222489714 322111974 333734571 338715684 444979428 483167961 630387523 644223948 667469142 912650593 966335922 1260775046 1334938284 1825301186 1891162569 1932671844 2521550092 2737951779 3596917043 3650602372 3782325138 5475903558 5673487707 7193834086 7564650276 8213855337 10790751129 10951807116 11346975414 14387668172 16427710674 21581502258 22693950828 32372253387 32855421348 43163004516 61147589731 64744506774 122295179462 129489013548 183442769193 244590358924 366885538386 550328307579 733771076772 1100656615158 2201313230316