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10101012020 = 22511831015477
BaseRepresentation
bin10010110100001000…
…10011011000110100
3222001221211120120022
421122010103120310
5131141324341040
64350151424312
7505212120431
oct113204233064
928057746508
1010101012020
114313837920
121b5a985098
13c4c8c67b8
146bb738b88
153e1bb26b5
hex25a113634

10101012020 has 96 divisors (see below), whose sum is σ = 23655494016. Its totient is φ = 3592256000.

The previous prime is 10101012017. The next prime is 10101012073. The reversal of 10101012020 is 2021010101.

It is a junction number, because it is equal to n+sod(n) for n = 10101011989 and 10101012007.

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, 1841522 + ... + 1846998.

It is an arithmetic number, because the mean of its divisors is an integer number (246411396).

Almost surely, 210101012020 is an apocalyptic number.

10101012020 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 10101012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11827747008).

10101012020 is an abundant number, since it is smaller than the sum of its proper divisors (13554481996).

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

10101012020 is a wasteful number, since it uses less digits than its factorization.

10101012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5681 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10101012020 its reverse (2021010101), we get a palindrome (12122022121).

The spelling of 10101012020 in words is "ten billion, one hundred one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 101 110 166 202 220 332 404 415 505 830 913 1010 1111 1660 1826 2020 2222 3652 4444 4565 5477 5555 8383 9130 10954 11110 16766 18260 21908 22220 27385 33532 41915 54770 60247 83830 92213 109540 120494 167660 184426 240988 301235 368852 454591 461065 553177 602470 909182 922130 1106354 1204940 1818364 1844260 2212708 2272955 2765885 4545910 5000501 5531770 6084947 9091820 10001002 11063540 12169894 20002004 24339788 25002505 30424735 45913691 50005010 60849470 91827382 100010020 121698940 183654764 229568455 459136910 505050601 918273820 1010101202 2020202404 2525253005 5050506010 10101012020