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13012322130120 = 23351955731024073
BaseRepresentation
bin1011110101011010101011…
…0101101001100011001000
31201001222002002202121002010
42331112222311221203020
53201143213431130440
643401440034335520
72512052321105115
oct275265265514310
951058062677063
1013012322130120
114167549680505
121561a6042a5a0
13735097798881
1432db2a73790c
15178731338580
hexbd5aad698c8

13012322130120 has 128 divisors (see below), whose sum is σ = 41098957027200. Its totient is φ = 3286730409984.

The previous prime is 13012322130097. The next prime is 13012322130169. The reversal of 13012322130120 is 2103122321031.

It is a super-2 number, since 2×130123221301202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12194404 + ... + 13218476.

It is an arithmetic number, because the mean of its divisors is an integer number (321085601775).

Almost surely, 213012322130120 is an apocalyptic number.

13012322130120 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 13012322130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20549478513600).

13012322130120 is an abundant number, since it is smaller than the sum of its proper divisors (28086634897080).

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

13012322130120 is a wasteful number, since it uses less digits than its factorization.

13012322130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029679 (or 1029675 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13012322130120 its reverse (2103122321031), we get a palindrome (15115444451151).

The spelling of 13012322130120 in words is "thirteen trillion, twelve billion, three hundred twenty-two million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 5573 11146 16719 22292 27865 33438 44584 55730 66876 83595 105887 111460 133752 167190 211774 222920 317661 334380 423548 529435 635322 668760 847096 1024073 1058870 1270644 1588305 2048146 2117740 2541288 3072219 3176610 4096292 4235480 5120365 6144438 6353220 8192584 10240730 12288876 12706440 15361095 19457387 20481460 24577752 30722190 38914774 40962920 58372161 61444380 77829548 97286935 116744322 122888760 155659096 194573870 233488644 291860805 389147740 466977288 583721610 778295480 1167443220 2334886440 5707158829 11414317658 17121476487 22828635316 28535794145 34242952974 45657270632 57071588290 68485905948 85607382435 108436017751 114143176580 136971811896 171214764870 216872035502 228286353160 325308053253 342429529740 433744071004 542180088755 650616106506 684859059480 867488142008 1084360177510 1301232213012 1626540266265 2168720355020 2602464426024 3253080532530 4337440710040 6506161065060 13012322130120