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10221222001100 = 22521121843345827
BaseRepresentation
bin1001010010111101000001…
…0011100111100111001100
31100012010202112110021221112
42110233100103213213030
52314431030313013400
633423321540151152
72103313260335525
oct224572023474714
940163675407845
1010221222001100
113290883397800
121190b366984b8
13591b1b07a9a6
142749d191184c
1512ad26567835
hex94bd04e79cc

10221222001100 has 108 divisors (see below), whose sum is σ = 24381580932072. Its totient is φ = 3716525260800.

The previous prime is 10221222001099. The next prime is 10221222001139. The reversal of 10221222001100 is 110022212201.

10221222001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223016387 + ... + 223062213.

Almost surely, 210221222001100 is an apocalyptic number.

10221222001100 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 10221222001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190790466036).

10221222001100 is an abundant number, since it is smaller than the sum of its proper divisors (14160358930972).

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

10221222001100 is a wasteful number, since it uses less digits than its factorization.

10221222001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64296 (or 64278 counting only the distinct ones).

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

Adding to 10221222001100 its reverse (110022212201), we get a palindrome (10331244213301).

The spelling of 10221222001100 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-two million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 18433 36866 45827 73732 91654 92165 183308 184330 202763 229135 368660 405526 458270 460825 504097 811052 916540 921650 1008194 1013815 1145675 1843300 2016388 2027630 2230393 2291350 2520485 4055260 4460786 4582700 5040970 5069075 5545067 8921572 10081940 10138150 11090134 11151965 12602425 20276300 22180268 22303930 25204850 27725335 44607860 50409700 55450670 55759825 110901340 111519650 138626675 223039300 277253350 554506700 844729091 1689458182 3378916364 4223645455 8447290910 9292020001 16894581820 18584040002 21118227275 37168080004 42236454550 46460100005 84472909100 92920200010 102212220011 185840400020 204424440022 232300500025 408848880044 464601000050 511061100055 929202000100 1022122200110 2044244400220 2555305500275 5110611000550 10221222001100