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1002211122200 = 235219436133483
BaseRepresentation
bin11101001010110000111…
…00000001110000011000
310112210212211001001220212
432211120130001300120
5112410012021402300
62044224234310252
7132256503660311
oct16453034016030
93483784031825
101002211122200
11357043061812
1214229a588388
137367b3c2782
1436715d7b608
151b10a92d935
hexe958701c18

1002211122200 has 96 divisors (see below), whose sum is σ = 2509821652800. Its totient is φ = 370952991360.

The previous prime is 1002211122179. The next prime is 1002211122229. The reversal of 1002211122200 is 22211122001.

It is a super-2 number, since 2×10022111222002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2903342 + ... + 3230141.

It is an arithmetic number, because the mean of its divisors is an integer number (26143975550).

Almost surely, 21002211122200 is an apocalyptic number.

1002211122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002211122200 is an abundant number, since it is smaller than the sum of its proper divisors (1507610530600).

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

1002211122200 is a wasteful number, since it uses less digits than its factorization.

1002211122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133561 (or 6133552 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002211122200 its reverse (22211122001), we get a palindrome (1024422244201).

The spelling of 1002211122200 in words is "one trillion, two billion, two hundred eleven million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 43 50 76 86 95 100 152 172 190 200 215 344 380 430 475 760 817 860 950 1075 1634 1720 1900 2150 3268 3800 4085 4300 6536 8170 8600 16340 20425 32680 40850 81700 163400 6133483 12266966 24533932 30667415 49067864 61334830 116536177 122669660 153337075 233072354 245339320 263739769 306674150 466144708 527479538 582680885 613348300 932289416 1054959076 1165361770 1226696600 1318698845 2109918152 2330723540 2637397690 2913404425 4661447080 5011055611 5274795380 5826808850 6593494225 10022111222 10549590760 11653617700 13186988450 20044222444 23307235400 25055278055 26373976900 40088444888 50110556110 52747953800 100221112220 125276390275 200442224440 250552780550 501105561100 1002211122200