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13103001120 = 2535112481629
BaseRepresentation
bin11000011001111111…
…11110111000100000
31020211011121102102210
430030333332320200
5203313332013440
610004110442120
7642463446306
oct141477767040
936734542383
1013103001120
115614336750
122658203340
13130a826501
148c42dc276
1551a4eaa80
hex30cffee20

13103001120 has 96 divisors (see below), whose sum is σ = 45026694720. Its totient is φ = 3176483840.

The previous prime is 13103001097. The next prime is 13103001157. The reversal of 13103001120 is 2110030131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13103001096 and 13103001105.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1235535 + ... + 1246094.

It is an arithmetic number, because the mean of its divisors is an integer number (469028070).

Almost surely, 213103001120 is an apocalyptic number.

13103001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13103001120 is an abundant number, since it is smaller than the sum of its proper divisors (31923693600).

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

13103001120 is a wasteful number, since it uses less digits than its factorization.

13103001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481658 (or 2481650 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13103001120 its reverse (2110030131), we get a palindrome (15213031251).

The spelling of 13103001120 in words is "thirteen billion, one hundred three million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 2481629 4963258 7444887 9926516 12408145 14889774 19853032 24816290 27297919 29779548 37224435 39706064 49632580 54595838 59559096 74448870 79412128 81893757 99265160 109191676 119118192 136489595 148897740 163787514 198530320 218383352 238236384 272979190 297795480 327575028 397060640 409468785 436766704 545958380 595590960 655150056 818937570 873533408 1091916760 1191181920 1310300112 1637875140 2183833520 2620600224 3275750280 4367667040 6551500560 13103001120