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1020222000200 = 2352131312995367
BaseRepresentation
bin11101101100010011111…
…10000100110001001000
310121112101000200110202102
432312021332010301020
5113203403313001300
62100403350052532
7133465023626564
oct16661176046110
93545330613672
101020222000200
113637457a3a57
1214588634a148
137528b961430
1437543dda6a4
151b811c350d5
hexed89f84c48

1020222000200 has 96 divisors (see below), whose sum is σ = 2573979629760. Its totient is φ = 373821676800.

The previous prime is 1020222000197. The next prime is 1020222000209. The reversal of 1020222000200 is 20002220201.

It is not an unprimeable number, because it can be changed into a prime (1020222000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157084 + ... + 1838283.

It is an arithmetic number, because the mean of its divisors is an integer number (26812287810).

Almost surely, 21020222000200 is an apocalyptic number.

1020222000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020222000200 is an abundant number, since it is smaller than the sum of its proper divisors (1553757629560).

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

1020222000200 is a wasteful number, since it uses less digits than its factorization.

1020222000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995527 (or 2995518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 1020222000200 its reverse (20002220201), we get a palindrome (1040224220401).

The spelling of 1020222000200 in words is "one trillion, twenty billion, two hundred twenty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 131 200 260 262 325 520 524 650 655 1048 1300 1310 1703 2600 2620 3275 3406 5240 6550 6812 8515 13100 13624 17030 26200 34060 42575 68120 85150 170300 340600 2995367 5990734 11981468 14976835 23962936 29953670 38939771 59907340 74884175 77879542 119814680 149768350 155759084 194698855 299536700 311518168 389397710 392393077 599073400 778795420 784786154 973494275 1557590840 1569572308 1946988550 1961965385 3139144616 3893977100 3923930770 5101110001 7787954200 7847861540 9809826925 10202220002 15695723080 19619653850 20404440004 25505550005 39239307700 40808880008 51011100010 78478615400 102022200020 127527750025 204044400040 255055500050 510111000100 1020222000200