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10112210020 = 22511196593671
BaseRepresentation
bin10010110101011110…
…00001010001100100
3222002201220111100001
421122233001101210
5131202211210040
64351231431044
7505406236603
oct113257012144
928081814301
1010112210020
11431a096070
121b62685484
13c52017733
146bd011a3a
153e2b7559a
hex25abc1464

10112210020 has 96 divisors (see below), whose sum is σ = 24429081600. Its totient is φ = 3477398400.

The previous prime is 10112209979. The next prime is 10112210041. The reversal of 10112210020 is 2001221101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10112209979 and 10112210006.

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, 2752785 + ... + 2756455.

It is an arithmetic number, because the mean of its divisors is an integer number (254469600).

Almost surely, 210112210020 is an apocalyptic number.

10112210020 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 10112210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12214540800).

10112210020 is an abundant number, since it is smaller than the sum of its proper divisors (14316871580).

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

10112210020 is a wasteful number, since it uses less digits than its factorization.

10112210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4367 counting only the distinct ones).

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

Adding to 10112210020 its reverse (2001221101), we get a palindrome (12113431121).

The spelling of 10112210020 in words is "ten billion, one hundred twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 659 836 1045 1318 2090 2636 3295 3671 4180 6590 7249 7342 12521 13180 14498 14684 18355 25042 28996 36245 36710 40381 50084 62605 69749 72490 73420 80762 125210 137731 139498 144980 161524 201905 250420 275462 278996 348745 403810 550924 688655 697490 767239 807620 1377310 1394980 1534478 2419189 2754620 3068956 3836195 4838378 7672390 9676756 12095945 15344780 24191890 26611079 45964591 48383780 53222158 91929182 106444316 133055395 183858364 229822955 266110790 459645910 505610501 532221580 919291820 1011221002 2022442004 2528052505 5056105010 10112210020