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10322140200 = 23352107160781
BaseRepresentation
bin10011001110011111…
…10101110000101000
3222122100221001101220
421213033311300220
5132114431441300
64424131142040
7513535513131
oct114717656050
928570831356
1010322140200
114417640789
122000a44920
13c8666a888
146dcc5ac88
154062e1da0
hex2673f5c28

10322140200 has 96 divisors (see below), whose sum is σ = 32297888160. Its totient is φ = 2726828800.

The previous prime is 10322140183. The next prime is 10322140243. The reversal of 10322140200 is 204122301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10322140200.

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, 16191 + ... + 144590.

It is an arithmetic number, because the mean of its divisors is an integer number (336436335).

Almost surely, 210322140200 is an apocalyptic number.

10322140200 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 10322140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148944080).

10322140200 is an abundant number, since it is smaller than the sum of its proper divisors (21975747960).

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

10322140200 is a wasteful number, since it uses less digits than its factorization.

10322140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160907 (or 160898 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10322140200 its reverse (204122301), we get a palindrome (10526262501).

The spelling of 10322140200 in words is "ten billion, three hundred twenty-two million, one hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 150 200 214 300 321 428 535 600 642 856 1070 1284 1605 2140 2568 2675 3210 4280 5350 6420 8025 10700 12840 16050 21400 32100 64200 160781 321562 482343 643124 803905 964686 1286248 1607810 1929372 2411715 3215620 3858744 4019525 4823430 6431240 8039050 9646860 12058575 16078100 17203567 19293720 24117150 32156200 34407134 48234300 51610701 68814268 86017835 96468600 103221402 137628536 172035670 206442804 258053505 344071340 412885608 430089175 516107010 688142680 860178350 1032214020 1290267525 1720356700 2064428040 2580535050 3440713400 5161070100 10322140200