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1010021002210 = 251121749101653
BaseRepresentation
bin11101011001010011111…
…00010110101111100010
310120120001002201002020001
432230221330112233202
5113022010334032320
62051555223210214
7132654155602633
oct16545174265742
93516032632201
101010021002210
1135a390585200
121438b9ba696a
137432442a64c
1436c572b588a
151b4163c220a
hexeb29f16be2

1010021002210 has 48 divisors (see below), whose sum is σ = 2115888474168. Its totient is φ = 345675630080.

The previous prime is 1010021002163. The next prime is 1010021002217. The reversal of 1010021002210 is 122001200101.

It can be written as a sum of positive squares in 4 ways, for example, as 961092004609 + 48928997601 = 980353^2 + 221199^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1010021002217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24530257 + ... + 24571396.

Almost surely, 21010021002210 is an apocalyptic number.

1010021002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010021002210 is an abundant number, since it is smaller than the sum of its proper divisors (1105867471958).

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

1010021002210 is a wasteful number, since it uses less digits than its factorization.

1010021002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49101699 (or 49101688 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010021002210 its reverse (122001200101), we get a palindrome (1132022202311).

The spelling of 1010021002210 in words is "one trillion, ten billion, twenty-one million, two thousand, two hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 374 605 935 1210 1870 2057 4114 10285 20570 49101653 98203306 245508265 491016530 540118183 834728101 1080236366 1669456202 2700590915 4173640505 5401181830 5941300013 8347281010 9182009111 11882600026 18364018222 29706500065 45910045555 59413000130 91820091110 101002100221 202004200442 505010501105 1010021002210