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10102300022001 = 3113116759132761
BaseRepresentation
bin1001001100000010000000…
…0000010001010011110001
31022202202210122202211010010
42103000200000101103301
52311004002301201001
633252533233325133
72061603261235305
oct223004000212361
938682718684103
1010102300022001
1132453a7aa5750
121171a87a067a9
1358384831a115
1426cd4d825d05
15127bb60558d6
hex930200114f1

10102300022001 has 32 divisors (see below), whose sum is σ = 15259090968576. Its totient is φ = 5889622896000.

The previous prime is 10102300021993. The next prime is 10102300022119. The reversal of 10102300022001 is 10022000320101.

It is not a de Polignac number, because 10102300022001 - 23 = 10102300021993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102300022701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29395540 + ... + 29737221.

It is an arithmetic number, because the mean of its divisors is an integer number (476846592768).

Almost surely, 210102300022001 is an apocalyptic number.

10102300022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102300022001 is a deficient number, since it is larger than the sum of its proper divisors (5156790946575).

10102300022001 is a wasteful number, since it uses less digits than its factorization.

10102300022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59132973.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10102300022001 its reverse (10022000320101), we get a palindrome (20124300342102).

The spelling of 10102300022001 in words is "ten trillion, one hundred two billion, three hundred million, twenty-two thousand, one".

Divisors: 1 3 11 31 33 93 167 341 501 1023 1837 5177 5511 15531 56947 170841 59132761 177398283 650460371 1833115591 1951381113 5499346773 9875171087 20164271501 29625513261 60492814503 108626881957 306130303697 325880645871 918390911091 3367433340667 10102300022001