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10213404360 = 23351992112027
BaseRepresentation
bin10011000001100010…
…00010111011001000
3222100210022200212120
421200301002323020
5131404112414420
64405244411240
7511045335045
oct114061027310
928323280776
1010213404360
114371222955
121b90546b20
13c69c88a43
146cc6341cc
153eb9b3d40
hex260c42ec8

10213404360 has 128 divisors (see below), whose sum is σ = 30955392000. Its totient is φ = 2695714560.

The previous prime is 10213404349. The next prime is 10213404371. The reversal of 10213404360 is 6340431201.

It is an interprime number because it is at equal distance from previous prime (10213404349) and next prime (10213404371).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10213404360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5037667 + ... + 5039693.

It is an arithmetic number, because the mean of its divisors is an integer number (241839000).

Almost surely, 210213404360 is an apocalyptic number.

10213404360 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 10213404360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15477696000).

10213404360 is an abundant number, since it is smaller than the sum of its proper divisors (20741987640).

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

10213404360 is a wasteful number, since it uses less digits than its factorization.

10213404360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10213404360 its reverse (6340431201), we get a palindrome (16553835561).

The spelling of 10213404360 in words is "ten billion, two hundred thirteen million, four hundred four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 211 398 422 597 633 796 844 995 1055 1194 1266 1592 1688 1990 2027 2110 2388 2532 2985 3165 3980 4054 4220 4776 5064 5970 6081 6330 7960 8108 8440 10135 11940 12162 12660 16216 20270 23880 24324 25320 30405 40540 41989 48648 60810 81080 83978 121620 125967 167956 209945 243240 251934 335912 403373 419890 427697 503868 629835 806746 839780 855394 1007736 1210119 1259670 1283091 1613492 1679560 1710788 2016865 2138485 2420238 2519340 2566182 3226984 3421576 4033730 4276970 4840476 5038680 5132364 6050595 6415455 8067460 8553940 9680952 10264728 12101190 12830910 16134920 17107880 24202380 25661820 48404760 51323640 85111703 170223406 255335109 340446812 425558515 510670218 680893624 851117030 1021340436 1276675545 1702234060 2042680872 2553351090 3404468120 5106702180 10213404360