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103202021200 = 24522359190129
BaseRepresentation
bin110000000011101010…
…0011101111101010000
3100212101022210212120111
41200013110131331100
53142324204134300
6115224345251104
710312304464165
oct1400724357520
9325338725514
10103202021200
113a84993a013
1218002193a94
139969008245
144dd041406c
152a403d69ba
hex180751df50

103202021200 has 120 divisors (see below), whose sum is σ = 263109499200. Its totient is φ = 38816532480.

The previous prime is 103202021093. The next prime is 103202021207. The reversal of 103202021200 is 2120202301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103202021207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 447736 + ... + 637864.

It is an arithmetic number, because the mean of its divisors is an integer number (2192579160).

Almost surely, 2103202021200 is an apocalyptic number.

103202021200 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 103202021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131554749600).

103202021200 is an abundant number, since it is smaller than the sum of its proper divisors (159907478000).

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

103202021200 is a wasteful number, since it uses less digits than its factorization.

103202021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190229 (or 190218 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 103202021200 its reverse (2120202301), we get a palindrome (105322223501).

The spelling of 103202021200 in words is "one hundred three billion, two hundred two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 59 80 92 100 115 118 184 200 230 236 295 368 400 460 472 575 590 920 944 1150 1180 1357 1475 1840 2300 2360 2714 2950 4600 4720 5428 5900 6785 9200 10856 11800 13570 21712 23600 27140 33925 54280 67850 108560 135700 190129 271400 380258 542800 760516 950645 1521032 1901290 3042064 3802580 4372967 4753225 7605160 8745934 9506450 11217611 15210320 17491868 19012900 21864835 22435222 34983736 38025800 43729670 44870444 56088055 69967472 76051600 87459340 89740888 109324175 112176110 174918680 179481776 218648350 224352220 258005053 280440275 349837360 437296700 448704440 516010106 560880550 874593400 897408880 1032020212 1121761100 1290025265 1749186800 2064040424 2243522200 2580050530 4128080848 4487044400 5160101060 6450126325 10320202120 12900252650 20640404240 25800505300 51601010600 103202021200