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1123012103120 = 245297317338329
BaseRepresentation
bin10000010101111000101…
…111001100101111010000
310222100200122101201200022
4100111320233030233100
5121344412044244440
62215523222443012
7144064200243125
oct20257057145720
93870618351608
101123012103120
113a32a3067736
12161792593468
1381b9051433b
143c4d582674c
151e32ada1cb5
hex10578bccbd0

1123012103120 has 160 divisors (see below), whose sum is σ = 2753936906400. Its totient is φ = 425289940992.

The previous prime is 1123012103119. The next prime is 1123012103203. The reversal of 1123012103120 is 213012103211.

It can be written as a sum of positive squares in 16 ways, for example, as 39639217216 + 1083372885904 = 199096^2 + 1040852^2 .

It is a super-2 number, since 2×11230121031202 (a number of 25 digits) contains 22 as substring.

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, 29280116 + ... + 29318444.

It is an arithmetic number, because the mean of its divisors is an integer number (17212105665).

Almost surely, 21123012103120 is an apocalyptic number.

1123012103120 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 1123012103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376968453200).

1123012103120 is an abundant number, since it is smaller than the sum of its proper divisors (1630924803280).

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

1123012103120 is a wasteful number, since it uses less digits than its factorization.

1123012103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38617 (or 38611 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1123012103120 its reverse (213012103211), we get a palindrome (1336024206331).

Subtracting from 1123012103120 its reverse (213012103211), we obtain a palindrome (909999999909).

The spelling of 1123012103120 in words is "one trillion, one hundred twenty-three billion, twelve million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 73 80 116 145 146 173 232 290 292 346 365 464 580 584 692 730 865 1160 1168 1384 1460 1730 2117 2320 2768 2920 3460 4234 5017 5840 6920 8468 10034 10585 12629 13840 16936 20068 21170 25085 25258 33872 38329 40136 42340 50170 50516 63145 76658 80272 84680 100340 101032 126290 153316 169360 191645 200680 202064 252580 306632 366241 383290 401360 505160 613264 732482 766580 1010320 1111541 1464964 1533160 1831205 2223082 2798017 2929928 3066320 3662410 4446164 5557705 5596034 5859856 6630917 7324820 8892328 11115410 11192068 13261834 13990085 14649640 17784656 22230820 22384136 26523668 27980170 29299280 33154585 44461640 44768272 53047336 55960340 66309170 81142493 88923280 106094672 111920680 132618340 162284986 192296593 223841360 265236680 324569972 384593186 405712465 484056941 530473360 649139944 769186372 811424930 961482965 968113882 1298279888 1538372744 1622849860 1922965930 1936227764 2420284705 3076745488 3245699720 3845931860 3872455528 4840569410 6491399440 7691863720 7744911056 9681138820 14037651289 15383727440 19362277640 28075302578 38724555280 56150605156 70188256445 112301210312 140376512890 224602420624 280753025780 561506051560 1123012103120