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13122021200 = 2452177127179
BaseRepresentation
bin11000011100010001…
…00010011101010000
31020212111101202002012
430032020202131100
5203333214134300
610010030242052
7643114224401
oct141610423520
936774352065
1013122021200
115624047822
122662656328
1313117558b2
148c6a4d9a8
1551c006435
hex30e222750

13122021200 has 120 divisors (see below), whose sum is σ = 33851494080. Its totient is φ = 4870297600.

The previous prime is 13122021197. The next prime is 13122021223. The reversal of 13122021200 is 212022131.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 469211 + ... + 496389.

It is an arithmetic number, because the mean of its divisors is an integer number (282095784).

Almost surely, 213122021200 is an apocalyptic number.

13122021200 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 13122021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16925747040).

13122021200 is an abundant number, since it is smaller than the sum of its proper divisors (20729472880).

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

13122021200 is a wasteful number, since it uses less digits than its factorization.

13122021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27285 (or 27274 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13122021200 its reverse (212022131), we get a palindrome (13334043331).

The spelling of 13122021200 in words is "thirteen billion, one hundred twenty-two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 71 80 85 100 136 142 170 200 272 284 340 355 400 425 568 680 710 850 1136 1207 1360 1420 1700 1775 2414 2840 3400 3550 4828 5680 6035 6800 7100 9656 12070 14200 19312 24140 27179 28400 30175 48280 54358 60350 96560 108716 120700 135895 217432 241400 271790 434864 462043 482800 543580 679475 924086 1087160 1358950 1848172 1929709 2174320 2310215 2717900 3696344 3859418 4620430 5435800 7392688 7718836 9240860 9648545 10871600 11551075 15437672 18481720 19297090 23102150 30875344 32805053 36963440 38594180 46204300 48242725 65610106 77188360 92408600 96485450 131220212 154376720 164025265 184817200 192970900 262440424 328050530 385941800 524880848 656101060 771883600 820126325 1312202120 1640252650 2624404240 3280505300 6561010600 13122021200