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1014213300 = 2235253227281
BaseRepresentation
bin111100011100111…
…010101010110100
32121200102101002120
4330130322222310
54034114311200
6244350035540
734063446042
oct7434725264
92550371076
101014213300
11480551511
122437a8bb0
13132175719
14989ab392
155e08c9a0
hex3c73aab4

1014213300 has 144 divisors (see below), whose sum is σ = 3013682112. Its totient is φ = 263244800.

The previous prime is 1014213283. The next prime is 1014213373. The reversal of 1014213300 is 33124101.

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 1014213300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3609160 + ... + 3609440.

It is an arithmetic number, because the mean of its divisors is an integer number (20928348).

Almost surely, 21014213300 is an apocalyptic number.

1014213300 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 1014213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506841056).

1014213300 is an abundant number, since it is smaller than the sum of its proper divisors (1999468812).

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

1014213300 is a wasteful number, since it uses less digits than its factorization.

1014213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1014213300 is about 31846.7156862368. The cubic root of 1014213300 is about 1004.7154958148.

Adding to 1014213300 its reverse (33124101), we get a palindrome (1047337401).

The spelling of 1014213300 in words is "one billion, fourteen million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 227 265 281 300 318 454 530 562 636 681 795 843 908 1060 1124 1135 1325 1362 1405 1590 1686 2270 2650 2724 2810 3180 3372 3405 3975 4215 4540 5300 5620 5675 6810 7025 7950 8430 11350 12031 13620 14050 14893 15900 16860 17025 21075 22700 24062 28100 29786 34050 36093 42150 44679 48124 59572 60155 63787 68100 72186 74465 84300 89358 120310 127574 144372 148930 178716 180465 191361 223395 240620 255148 297860 300775 318935 360930 372325 382722 446790 601550 637870 721860 744650 765444 893580 902325 956805 1116975 1203100 1275740 1489300 1594675 1804650 1913610 2233950 3189350 3380711 3609300 3827220 4467900 4784025 6378700 6761422 9568050 10142133 13522844 16903555 19136100 20284266 33807110 40568532 50710665 67614220 84517775 101421330 169035550 202842660 253553325 338071100 507106650 1014213300