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10031222000 = 245373127541
BaseRepresentation
bin10010101011110100…
…00100110011110000
3221220002111212122202
421111322010303300
5131020443101000
64335215522332
7503403660122
oct112572046360
927802455582
1010031222000
1142883aa618
121b3b5293a8
13c3b2cc727
146b236d212
153da9c8dd5
hex255e84cf0

10031222000 has 160 divisors (see below), whose sum is σ = 24827172864. Its totient is φ = 3919104000.

The previous prime is 10031221999. The next prime is 10031222021. The reversal of 10031222000 is 22213001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18541730 + ... + 18542270.

Almost surely, 210031222000 is an apocalyptic number.

10031222000 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 10031222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12413586432).

10031222000 is an abundant number, since it is smaller than the sum of its proper divisors (14795950864).

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

10031222000 is a wasteful number, since it uses less digits than its factorization.

10031222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10031222000 its reverse (22213001), we get a palindrome (10053435001).

The spelling of 10031222000 in words is "ten billion, thirty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 127 146 200 250 254 292 365 400 500 508 541 584 635 730 1000 1016 1082 1168 1270 1460 1825 2000 2032 2164 2540 2705 2920 3175 3650 4328 5080 5410 5840 6350 7300 8656 9125 9271 10160 10820 12700 13525 14600 15875 18250 18542 21640 25400 27050 29200 31750 36500 37084 39493 43280 46355 50800 54100 63500 67625 68707 73000 74168 78986 92710 108200 127000 135250 137414 146000 148336 157972 185420 197465 216400 231775 254000 270500 274828 315944 343535 370840 394930 463550 541000 549656 631888 687070 741680 789860 927100 987325 1082000 1099312 1158875 1374140 1579720 1717675 1854200 1974650 2317750 2748280 3159440 3435350 3708400 3949300 4635500 4936625 5015611 5496560 6870700 7898600 8588375 9271000 9873250 10031222 13741400 15797200 17176750 18542000 19746500 20062444 25078055 27482800 34353500 39493000 40124888 50156110 68707000 78986000 80249776 100312220 125390275 137414000 200624440 250780550 401248880 501561100 626951375 1003122200 1253902750 2006244400 2507805500 5015611000 10031222000