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10222001020 = 22571131720939
BaseRepresentation
bin10011000010100011…
…10101101101111100
3222101101111110021101
421201101311231330
5131413313013040
64410152542444
7511211401150
oct114121655574
928341443241
1010222001020
114376064730
121b933b1a24
13c6b9a891a
146cd831060
153ec61109a
hex261475b7c

10222001020 has 96 divisors (see below), whose sum is σ = 26848765440. Its totient is φ = 3175875840.

The previous prime is 10222000991. The next prime is 10222001033. The reversal of 10222001020 is 2010022201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10222000988 and 10222001006.

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, 477711 + ... + 498649.

It is an arithmetic number, because the mean of its divisors is an integer number (279674640).

Almost surely, 210222001020 is an apocalyptic number.

10222001020 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 10222001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13424382720).

10222001020 is an abundant number, since it is smaller than the sum of its proper divisors (16626764420).

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

10222001020 is a wasteful number, since it uses less digits than its factorization.

10222001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21283 (or 21281 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10222001020 its reverse (2010022201), we get a palindrome (12232023221).

The spelling of 10222001020 in words is "ten billion, two hundred twenty-two million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 317 385 634 770 1268 1540 1585 2219 3170 3487 4438 6340 6974 8876 11095 13948 17435 20939 22190 24409 34870 41878 44380 48818 69740 83756 97636 104695 122045 146573 209390 230329 244090 293146 418780 460658 488180 586292 732865 921316 1151645 1465730 1612303 2303290 2931460 3224606 4606580 6449212 6637663 8061515 13275326 16123030 26550652 32246060 33188315 46463641 66376630 73014293 92927282 132753260 146028586 185854564 232318205 292057172 365071465 464636410 511100051 730142930 929272820 1022200102 1460285860 2044400204 2555500255 5111000510 10222001020