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13302121120 = 255597917837
BaseRepresentation
bin11000110001101111…
…00100001010100000
31021100001021202201121
430120313210022200
5204220320333440
610035542342024
7650432110141
oct143067441240
937301252647
1013302121120
115706778532
1226b2a2a914
13133cb630b2
14902931ac8
1552cc2e34a
hex318de42a0

13302121120 has 96 divisors (see below), whose sum is σ = 32365267200. Its totient is φ = 5164164096.

The previous prime is 13302121109. The next prime is 13302121127. The reversal of 13302121120 is 2112120331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13302121094 and 13302121103.

It is not an unprimeable number, because it can be changed into a prime (13302121127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736842 + ... + 754678.

It is an arithmetic number, because the mean of its divisors is an integer number (337138200).

Almost surely, 213302121120 is an apocalyptic number.

13302121120 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 13302121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182633600).

13302121120 is an abundant number, since it is smaller than the sum of its proper divisors (19063146080).

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

13302121120 is a wasteful number, since it uses less digits than its factorization.

13302121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17990 (or 17982 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13302121120 its reverse (2112120331), we get a palindrome (15414241451).

The spelling of 13302121120 in words is "thirteen billion, three hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 79 80 118 158 160 236 295 316 395 472 590 632 790 944 1180 1264 1580 1888 2360 2528 3160 4661 4720 6320 9322 9440 12640 17837 18644 23305 35674 37288 46610 71348 74576 89185 93220 142696 149152 178370 186440 285392 356740 372880 570784 713480 745760 1052383 1409123 1426960 2104766 2818246 2853920 4209532 5261915 5636492 7045615 8419064 10523830 11272984 14091230 16838128 21047660 22545968 28182460 33676256 42095320 45091936 56364920 83138257 84190640 112729840 166276514 168381280 225459680 332553028 415691285 665106056 831382570 1330212112 1662765140 2660424224 3325530280 6651060560 13302121120