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13100121330 = 23519229100361
BaseRepresentation
bin11000011001101001…
…11111110011110010
31020210222012010002220
430030310333303302
5203312112340310
610003525021510
7642430123362
oct141464776362
936728163086
1013100121330
11561274a05a
122657254896
13130a0587aa
148c3b8c9a2
1551a12c670
hex30cd3fcf2

13100121330 has 64 divisors (see below), whose sum is σ = 33239894400. Its totient is φ = 3295019520.

The previous prime is 13100121323. The next prime is 13100121343. The reversal of 13100121330 is 3312100131.

It is a super-2 number, since 2×131001213302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 80350 + ... + 180710.

It is an arithmetic number, because the mean of its divisors is an integer number (519373350).

Almost surely, 213100121330 is an apocalyptic number.

13100121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16619947200).

13100121330 is an abundant number, since it is smaller than the sum of its proper divisors (20139773070).

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

13100121330 is a wasteful number, since it uses less digits than its factorization.

13100121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100619.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13100121330 its reverse (3312100131), we get a palindrome (16412221461).

The spelling of 13100121330 in words is "thirteen billion, one hundred million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 229 285 458 570 687 1145 1374 2290 3435 4351 6870 8702 13053 21755 26106 43510 65265 100361 130530 200722 301083 501805 602166 1003610 1505415 1906859 3010830 3813718 5720577 9534295 11441154 19068590 22982669 28602885 45965338 57205770 68948007 114913345 137896014 229826690 344740035 436670711 689480070 873341422 1310012133 2183353555 2620024266 4366707110 6550060665 13100121330