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10210202112 = 293115411117
BaseRepresentation
bin10011000001001001…
…10101001000000000
3222100120022000012210
421200210311020000
5131402302431422
64405052022120
7511006200045
oct114044651000
928316260183
1010210202112
11436a435a70
121b8b461940
13c69407316
146cc03d1cc
153eb58010c
hex260935200

10210202112 has 160 divisors (see below), whose sum is σ = 29754863424. Its totient is φ = 3085516800.

The previous prime is 10210202081. The next prime is 10210202117. The reversal of 10210202112 is 21120201201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10210202117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9140178 + ... + 9141294.

Almost surely, 210210202112 is an apocalyptic number.

10210202112 is a gapful number since it is divisible by the number (12) 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 10210202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14877431712).

10210202112 is an abundant number, since it is smaller than the sum of its proper divisors (19544661312).

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

10210202112 is a wasteful number, since it uses less digits than its factorization.

10210202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10210202112 its reverse (21120201201), we get a palindrome (31330403313).

The spelling of 10210202112 in words is "ten billion, two hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 541 704 768 1056 1082 1117 1408 1536 1623 2112 2164 2234 2816 3246 3351 4224 4328 4468 5632 5951 6492 6702 8448 8656 8936 11902 12287 12984 13404 16896 17312 17853 17872 23804 24574 25968 26808 34624 35706 35744 36861 47608 49148 51936 53616 69248 71412 71488 73722 95216 98296 103872 107232 138496 142824 142976 147444 190432 196592 207744 214464 276992 285648 285952 294888 380864 393184 415488 428928 571296 571904 589776 604297 761728 786368 830976 857856 1142592 1179552 1208594 1523456 1572736 1715712 1812891 2285184 2359104 2417188 3046912 3145472 3625782 4570368 4718208 4834376 6290944 6647267 7251564 9140736 9436416 9668752 13294534 14503128 18872832 19337504 19941801 26589068 29006256 38675008 39883602 53178136 58012512 77350016 79767204 106356272 116025024 154700032 159534408 212712544 232050048 309400064 319068816 425425088 464100096 638137632 850850176 928200192 1276275264 1701700352 2552550528 3403400704 5105101056 10210202112