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10220011011220 = 2251997958728921
BaseRepresentation
bin1001010010111000100000…
…1000000011110010010100
31100012000122010202122010111
42110232020020003302110
52314421040304324340
633423001440332404
72103241254156013
oct224561010036224
940160563678114
1010220011011220
11329031186511a
121190859014104
1359198720922a
14274918b60a7a
1512aca50aaaea
hex94b88203c94

10220011011220 has 96 divisors (see below), whose sum is σ = 22827676475520. Its totient is φ = 3832387706880.

The previous prime is 10220011011157. The next prime is 10220011011241. The reversal of 10220011011220 is 2211011002201.

It is a self number, because there is not a number n which added to its sum of digits gives 10220011011220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353362360 + ... + 353391280.

It is an arithmetic number, because the mean of its divisors is an integer number (237788296620).

Almost surely, 210220011011220 is an apocalyptic number.

10220011011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220011011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11413838237760).

10220011011220 is an abundant number, since it is smaller than the sum of its proper divisors (12607665464300).

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

10220011011220 is a wasteful number, since it uses less digits than its factorization.

10220011011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38633 (or 38631 counting only the distinct ones).

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

Adding to 10220011011220 its reverse (2211011002201), we get a palindrome (12431022013421).

The spelling of 10220011011220 in words is "ten trillion, two hundred twenty billion, eleven million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 380 388 485 970 1843 1940 3686 7372 9215 9587 18430 19174 28921 36860 38348 47935 57842 95870 115684 144605 182153 191740 289210 364306 549499 578420 728612 910765 929939 1098998 1821530 1859878 2197996 2747495 2805337 3643060 3719756 4649695 5494990 5610674 9299390 10989980 11221348 14026685 17668841 18598780 28053370 35337682 53301403 56106740 70675364 88344205 106602806 176688410 213205612 266507015 277265627 353376820 533014030 554531254 1066028060 1109062508 1386328135 2772656270 5268046913 5545312540 10536093826 21072187652 26340234565 26894765819 52680469130 53789531638 105360938260 107579063276 134473829095 268947658190 511000550561 537895316380 1022001101122 2044002202244 2555002752805 5110005505610 10220011011220