Search a number
-
+
1130233103120 = 2451129331133801
BaseRepresentation
bin10000011100100111001…
…001001000001100010000
311000001022212222112110202
4100130213021020030100
5122004204133244440
62223115533514332
7144441141602222
oct20344711101420
94001285875422
101130233103120
113a6369137930
121630689429a8
1382771547bc4
143c9bc870412
151e5eecc2615
hex10727248310

1130233103120 has 160 divisors (see below), whose sum is σ = 2974514797440. Its totient is φ = 395619840000.

The previous prime is 1130233103119. The next prime is 1130233103137. The reversal of 1130233103120 is 213013320311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1130233103092 and 1130233103101.

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, 8380220 + ... + 8514020.

It is an arithmetic number, because the mean of its divisors is an integer number (18590717484).

Almost surely, 21130233103120 is an apocalyptic number.

1130233103120 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 1130233103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487257398720).

1130233103120 is an abundant number, since it is smaller than the sum of its proper divisors (1844281694320).

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

1130233103120 is a wasteful number, since it uses less digits than its factorization.

1130233103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134185 (or 134179 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1130233103120 its reverse (213013320311), we get a palindrome (1343246423431).

The spelling of 1130233103120 in words is "one trillion, one hundred thirty billion, two hundred thirty-three million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 331 440 464 580 638 662 880 1160 1276 1324 1595 1655 2320 2552 2648 3190 3310 3641 5104 5296 6380 6620 7282 9599 12760 13240 14564 18205 19198 25520 26480 29128 36410 38396 47995 58256 72820 76792 95990 105589 133801 145640 153584 191980 211178 267602 291280 383960 422356 527945 535204 669005 767920 844712 1055890 1070408 1338010 1471811 1689424 2111780 2140816 2676020 2943622 3880229 4223560 5352040 5887244 7359055 7760458 8447120 10704080 11774488 14718110 15520916 19401145 23548976 29436220 31041832 38802290 42682519 44288131 58872440 62083664 77604580 85365038 88576262 117744880 155209160 170730076 177152524 213412595 221440655 310418320 341460152 354305048 426825190 442881310 487169441 682920304 708610096 853650380 885762620 974338882 1284355799 1707300760 1771525240 1948677764 2435847205 2568711598 3414601520 3543050480 3897355528 4871694410 5137423196 6421778995 7794711056 9743388820 10274846392 12843557990 14127913789 19486777640 20549692784 25687115980 28255827578 38973555280 51374231960 56511655156 70639568945 102748463920 113023310312 141279137890 226046620624 282558275780 565116551560 1130233103120