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200010122100 = 223352174357519
BaseRepresentation
bin1011101001000110001…
…0000100001101110100
3201010021001022221102000
42322101202010031310
511234110042401400
6231514451015300
720310302662335
oct2722142041564
9633231287360
10200010122100
1177907555078
123291ab9a530
1315b26454499
14997559828c
1553092c3600
hex2e91884374

200010122100 has 144 divisors (see below), whose sum is σ = 680818924800. Its totient is φ = 50198607360.

The previous prime is 200010122099. The next prime is 200010122107. The reversal of 200010122100 is 1221010002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200010122107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2132860 + ... + 2224659.

It is an arithmetic number, because the mean of its divisors is an integer number (4727909200).

Almost surely, 2200010122100 is an apocalyptic number.

200010122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200010122100 is an abundant number, since it is smaller than the sum of its proper divisors (480808802700).

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

200010122100 is a wasteful number, since it uses less digits than its factorization.

200010122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357559 (or 4357546 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200010122100 its reverse (1221010002), we get a palindrome (201231132102).

The spelling of 200010122100 in words is "two hundred billion, ten million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 340 425 450 459 510 540 612 675 765 850 900 918 1020 1275 1350 1530 1700 1836 2295 2550 2700 3060 3825 4590 5100 7650 9180 11475 15300 22950 45900 4357519 8715038 13072557 17430076 21787595 26145114 39217671 43575190 52290228 65362785 74077823 78435342 87150380 108937975 117653013 130725570 148155646 156870684 196088355 217875950 222233469 235306026 261451140 296311292 326813925 370389115 392176710 435751900 444466938 470612052 588265065 653627850 666700407 740778230 784353420 888933876 980441775 1111167345 1176530130 1307255700 1333400814 1481556460 1851945575 1960883550 2000101221 2222334690 2353060260 2666801628 2941325325 3333502035 3703891150 3921767100 4000202442 4444669380 5555836725 5882650650 6667004070 7407782300 8000404884 10000506105 11111673450 11765301300 13334008140 16667510175 20001012210 22223346900 33335020350 40002024420 50002530525 66670040700 100005061050 200010122100