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13213101300 = 22352711355681
BaseRepresentation
bin11000100111000111…
…11110110011110100
31021002211210002111020
430103203332303310
5204030023220200
610023042341140
7645301336140
oct142343766364
937084702436
1013213101300
1156704a6633
12268905a7b0
131327595349
148d4b9c220
15524ee7ea0
hex3138fecf4

13213101300 has 144 divisors (see below), whose sum is σ = 44078762112. Its totient is φ = 2993356800.

The previous prime is 13213101299. The next prime is 13213101323. The reversal of 13213101300 is 310131231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13213101300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209460 + ... + 265140.

Almost surely, 213213101300 is an apocalyptic number.

13213101300 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 13213101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22039381056).

13213101300 is an abundant number, since it is smaller than the sum of its proper divisors (30865660812).

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

13213101300 is a wasteful number, since it uses less digits than its factorization.

13213101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55818 (or 55811 counting only the distinct ones).

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

Adding to 13213101300 its reverse (310131231), we get a palindrome (13523232531).

The spelling of 13213101300 in words is "thirteen billion, two hundred thirteen million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 113 140 150 175 210 226 300 339 350 420 452 525 565 678 700 791 1050 1130 1356 1582 1695 2100 2260 2373 2825 3164 3390 3955 4746 5650 6780 7910 8475 9492 11300 11865 15820 16950 19775 23730 33900 39550 47460 55681 59325 79100 111362 118650 167043 222724 237300 278405 334086 389767 556810 668172 779534 835215 1113620 1169301 1392025 1559068 1670430 1948835 2338602 2784050 3340860 3897670 4176075 4677204 5568100 5846505 6291953 7795340 8352150 9744175 11693010 12583906 16704300 18875859 19488350 23386020 25167812 29232525 31459765 37751718 38976700 44043671 58465050 62919530 75503436 88087342 94379295 116930100 125839060 132131013 157298825 176174684 188758590 220218355 264262026 314597650 377517180 440436710 471896475 528524052 629195300 660655065 880873420 943792950 1101091775 1321310130 1887585900 2202183550 2642620260 3303275325 4404367100 6606550650 13213101300