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10112010100020 = 22325103545415863
BaseRepresentation
bin1001001100100110001011…
…0001010001110100110100
31022210200212100222220001100
42103021202301101310310
52311133344041200040
633301220542130100
72062366015443543
oct223114261216464
938720770886040
1010112010100020
11324953009a014
121173937880930
13584734c27a0a
1426d5d127a15a
15128083745b30
hex93262c51d34

10112010100020 has 72 divisors (see below), whose sum is σ = 30970894421376. Its totient is φ = 2670356060352.

The previous prime is 10112010099941. The next prime is 10112010100057. The reversal of 10112010100020 is 2000101021101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10112010099975 and 10112010100011.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 272689392 + ... + 272726471.

It is an arithmetic number, because the mean of its divisors is an integer number (430151311408).

Almost surely, 210112010100020 is an apocalyptic number.

10112010100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112010100020 is an abundant number, since it is smaller than the sum of its proper divisors (20858884321356).

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

10112010100020 is a wasteful number, since it uses less digits than its factorization.

10112010100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545415981 (or 545415976 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10112010100020 its reverse (2000101021101), we get a palindrome (12112111121121).

The spelling of 10112010100020 in words is "ten trillion, one hundred twelve billion, ten million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 18540 545415863 1090831726 1636247589 2181663452 2727079315 3272495178 4908742767 5454158630 6544990356 8181237945 9817485534 10908317260 16362475890 19634971068 24543713835 32724951780 49087427670 56177833889 98174855340 112355667778 168533501667 224711335556 280889169445 337067003334 505600505001 561778338890 674134006668 842667508335 1011201010002 1123556677780 1685335016670 2022402020004 2528002525005 3370670033340 5056005050010 10112010100020