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13002100003120 = 2454114332766263
BaseRepresentation
bin1011110100110100100110…
…0011010101000100110000
31201000222200201000201222211
42331031021203111010300
53201011300100044440
643353025434541504
72511241105340434
oct275151143250460
951028621021884
1013002100003120
114163183540168
12155ba88b97894
13734128a77807
1432d43acb29c4
15178333beeeea
hexbd3498d5130

13002100003120 has 80 divisors (see below), whose sum is σ = 30988817963712. Its totient is φ = 5070447595520.

The previous prime is 13002100003117. The next prime is 13002100003171. The reversal of 13002100003120 is 2130000120031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×130021000031202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13002100003120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3317109 + ... + 6083371.

Almost surely, 213002100003120 is an apocalyptic number.

13002100003120 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 13002100003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15494408981856).

13002100003120 is an abundant number, since it is smaller than the sum of its proper divisors (17986717960592).

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

13002100003120 is a wasteful number, since it uses less digits than its factorization.

13002100003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767750 (or 2767744 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13002100003120 its reverse (2130000120031), we get a palindrome (15132100123151).

The spelling of 13002100003120 in words is "thirteen trillion, two billion, one hundred million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1433 1640 2866 3280 5732 7165 11464 14330 22928 28660 57320 58753 114640 117506 235012 293765 470024 587530 940048 1175060 2350120 2766263 4700240 5532526 11065052 13831315 22130104 27662630 44260208 55325260 110650520 113416783 221301040 226833566 453667132 567083915 907334264 1134167830 1814668528 2268335660 3964054879 4536671320 7928109758 9073342640 15856219516 19820274395 31712439032 39640548790 63424878064 79281097580 158562195160 162526250039 317124390320 325052500078 650105000156 812631250195 1300210000312 1625262500390 2600420000624 3250525000780 6501050001560 13002100003120