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1002022000210 = 257117317826401
BaseRepresentation
bin11101001010011010010…
…10100101011001010010
310112210101122011200022201
432211031022211121102
5112404120113001320
62044153400553414
7132252016320250
oct16451512453122
93483348150281
101002022000210
11356a56329650
1214224718286a
137364b17687a
14366d8bcb5d0
151b0e902270a
hexe94d2a5652

1002022000210 has 64 divisors (see below), whose sum is σ = 2279497676544. Its totient is φ = 308040192000.

The previous prime is 1002022000201. The next prime is 1002022000279. The reversal of 1002022000210 is 120002202001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8856991 + ... + 8969410.

It is an arithmetic number, because the mean of its divisors is an integer number (35617151196).

Almost surely, 21002022000210 is an apocalyptic number.

1002022000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002022000210 is an abundant number, since it is smaller than the sum of its proper divisors (1277475676334).

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

1002022000210 is a wasteful number, since it uses less digits than its factorization.

1002022000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17826499.

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

Adding to 1002022000210 its reverse (120002202001), we get a palindrome (1122024202211).

The spelling of 1002022000210 in words is "one trillion, two billion, twenty-two million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 11 14 22 35 55 70 73 77 110 146 154 365 385 511 730 770 803 1022 1606 2555 4015 5110 5621 8030 11242 28105 56210 17826401 35652802 89132005 124784807 178264010 196090411 249569614 392180822 623924035 980452055 1247848070 1301327273 1372632877 1960904110 2602654546 2745265754 6506636365 6863164385 9109290911 13013272730 13726328770 14314600003 18218581822 28629200006 45546454555 71573000015 91092909110 100202200021 143146000030 200404400042 501011000105 1002022000210