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1022250213100 = 2252163215329129
BaseRepresentation
bin11101110000000101101…
…11000101111011101100
310121201121101010100210201
432320002313011323230
5113222032023304400
62101340521443244
7133566212304664
oct16700267057354
93551541110721
101022250213100
11364596660366
12146151640524
1375522c061cc
143769751b1a4
151b8ced1c06a
hexee02dc5eec

1022250213100 has 72 divisors (see below), whose sum is σ = 2233005359760. Its totient is φ = 406188794880.

The previous prime is 1022250213091. The next prime is 1022250213161. The reversal of 1022250213100 is 13120522201.

It is a super-2 number, since 2×10222502131002 (a number of 25 digits) contains 22 as substring.

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, 35079336 + ... + 35108464.

It is an arithmetic number, because the mean of its divisors is an integer number (31013963330).

Almost surely, 21022250213100 is an apocalyptic number.

1022250213100 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 1022250213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116502679880).

1022250213100 is an abundant number, since it is smaller than the sum of its proper divisors (1210755146660).

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

1022250213100 is a wasteful number, since it uses less digits than its factorization.

1022250213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31459 (or 31452 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 1022250213100 its reverse (13120522201), we get a palindrome (1035370735301).

The spelling of 1022250213100 in words is "one trillion, twenty-two billion, two hundred fifty million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 2153 3260 4075 4306 8150 8612 10765 16300 21530 29129 43060 53825 58258 107650 116516 145645 215300 291290 350939 582580 701878 728225 1403756 1456450 1754695 2912900 3509390 4748027 7018780 8773475 9496054 17546950 18992108 23740135 35093900 47480270 62714737 94960540 118700675 125429474 237401350 250858948 313573685 474802700 627147370 1254294740 1567868425 3135736850 6271473700 10222502131 20445004262 40890008524 51112510655 102225021310 204450042620 255562553275 511125106550 1022250213100