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10020212000 = 25534753299
BaseRepresentation
bin10010101010100000…
…00100110100100000
3221212022210111202222
421111100010310200
5131010133241000
64334143530212
7503211253031
oct112520046440
927768714688
1010020212000
11428216a647
121b378b9968
13c38c46236
146b0b04a88
153d9a51a85
hex255404d20

10020212000 has 96 divisors (see below), whose sum is σ = 25143955200. Its totient is φ = 3922732800.

The previous prime is 10020211997. The next prime is 10020212053. The reversal of 10020212000 is 21202001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161351 + ... + 214649.

It is an arithmetic number, because the mean of its divisors is an integer number (261916200).

Almost surely, 210020212000 is an apocalyptic number.

10020212000 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 10020212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571977600).

10020212000 is an abundant number, since it is smaller than the sum of its proper divisors (15123743200).

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

10020212000 is an equidigital number, since it uses as much as digits as its factorization.

10020212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53371 (or 53353 counting only the distinct ones).

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

Adding to 10020212000 its reverse (21202001), we get a palindrome (10041414001).

Subtracting from 10020212000 its reverse (21202001), we obtain a palindrome (9999009999).

The spelling of 10020212000 in words is "ten billion, twenty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 752 800 940 1000 1175 1504 1880 2000 2350 3760 4000 4700 5875 7520 9400 11750 18800 23500 37600 47000 53299 94000 106598 188000 213196 266495 426392 532990 852784 1065980 1332475 1705568 2131960 2505053 2664950 4263920 5010106 5329900 6662375 8527840 10020212 10659800 12525265 13324750 20040424 21319600 25050530 26649500 40080848 42639200 50101060 53299000 62626325 80161696 100202120 106598000 125252650 200404240 213196000 250505300 313131625 400808480 501010600 626263250 1002021200 1252526500 2004042400 2505053000 5010106000 10020212000