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13003001230120 = 2351179529770621
BaseRepresentation
bin1011110100110111111101…
…0001001111001100101000
31201001002000111211211000121
42331031333101033030220
53201020121303330440
643353255111213024
72511302330546416
oct275157721171450
951032014754017
1013003001230120
1141635a6230370
12156009a977174
137342406b0825
1432d4c486c2b6
15178387dc034a
hexbd37f44f328

13003001230120 has 128 divisors (see below), whose sum is σ = 32327022758400. Its totient is φ = 4667563929600.

The previous prime is 13003001230057. The next prime is 13003001230157. The reversal of 13003001230120 is 2103210030031.

It is a junction number, because it is equal to n+sod(n) for n = 13003001230094 and 13003001230103.

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, 184088410 + ... + 184159030.

It is an arithmetic number, because the mean of its divisors is an integer number (252554865300).

Almost surely, 213003001230120 is an apocalyptic number.

13003001230120 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 13003001230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16163511379200).

13003001230120 is an abundant number, since it is smaller than the sum of its proper divisors (19324021528280).

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

13003001230120 is a wasteful number, since it uses less digits than its factorization.

13003001230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76019 (or 76015 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13003001230120 its reverse (2103210030031), we get a palindrome (15106211260151).

The spelling of 13003001230120 in words is "thirteen trillion, three billion, one million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 790 869 1580 1738 3160 3476 4345 5297 6952 8690 10594 17380 21188 26485 34760 42376 52970 58267 70621 105940 116534 141242 211880 233068 282484 291335 353105 418463 466136 564968 582670 706210 776831 836926 1165340 1412420 1553662 1673852 2092315 2330680 2824840 3107324 3347704 3884155 4184630 4603093 5579059 6214648 7768310 8369260 9206186 11158118 15536620 16738520 18412372 22316236 23015465 27895295 31073240 36824744 44632472 46030930 55790590 61369649 92061860 111581180 122739298 184123720 223162360 245478596 306848245 374079437 490957192 613696490 748158874 1227392980 1496317748 1870397185 2454785960 2992635496 3740794370 4114873807 7481588740 8229747614 14963177480 16459495228 20574369035 29552275523 32918990456 41148738070 59104551046 82297476140 118209102092 147761377615 164594952280 236418204184 295522755230 325075030753 591045510460 650150061506 1182091020920 1300300123012 1625375153765 2600600246024 3250750307530 6501500615060 13003001230120