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11230202120 = 23583101107313
BaseRepresentation
bin10100111010101111…
…10100100100001000
31001222122121101011212
422131113310210020
5140444412431440
65054210112252
7545203100024
oct123527644410
931878541155
1011230202120
11484317a085
122214b7b688
13109c827917
147876b5384
1545adb2465
hex29d5f4908

11230202120 has 128 divisors (see below), whose sum is σ = 26150221440. Its totient is φ = 4339046400.

The previous prime is 11230202051. The next prime is 11230202143. The reversal of 11230202120 is 2120203211.

It is a happy number.

It is a super-2 number, since 2×112302021202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11230202095 and 11230202104.

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, 35879084 + ... + 35879396.

It is an arithmetic number, because the mean of its divisors is an integer number (204298605).

Almost surely, 211230202120 is an apocalyptic number.

11230202120 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 11230202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13075110720).

11230202120 is an abundant number, since it is smaller than the sum of its proper divisors (14920019320).

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

11230202120 is a wasteful number, since it uses less digits than its factorization.

11230202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11230202120 its reverse (2120203211), we get a palindrome (13350405331).

The spelling of 11230202120 in words is "eleven billion, two hundred thirty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 101 107 166 202 214 313 332 404 415 428 505 535 626 664 808 830 856 1010 1070 1252 1565 1660 2020 2140 2504 3130 3320 4040 4280 6260 8383 8881 10807 12520 16766 17762 21614 25979 31613 33491 33532 35524 41915 43228 44405 51958 54035 63226 66982 67064 71048 83830 86456 88810 103916 108070 126452 129895 133964 158065 167455 167660 177620 207832 216140 252904 259790 267928 316130 334910 335320 355240 432280 519580 632260 669820 896981 1039160 1264520 1339640 1793962 2623879 2779753 3382591 3587924 4484905 5247758 5559506 6765182 7175848 8969810 10495516 11119012 13119395 13530364 13898765 16912955 17939620 20991032 22238024 26238790 27060728 27797530 33825910 35879240 52477580 55595060 67651820 104955160 111190120 135303640 280755053 561510106 1123020212 1403775265 2246040424 2807550530 5615101060 11230202120