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10210001112 = 2332378634441
BaseRepresentation
bin10011000001001000…
…00100000011011000
3222100112220210111100
421200210010003120
5131402230013422
64405043431400
7511004402043
oct114044040330
928315823440
1010210001112
11436a308a53
121b8b385560
13c6936699c
146cbdc9c5a
153eb5407ac
hex2609040d8

10210001112 has 96 divisors (see below), whose sum is σ = 28438750080. Its totient is φ = 3306769920.

The previous prime is 10210001107. The next prime is 10210001129. The reversal of 10210001112 is 21110001201.

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 = 10210001094 and 10210001103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2296812 + ... + 2301252.

It is an arithmetic number, because the mean of its divisors is an integer number (296236980).

Almost surely, 210210001112 is an apocalyptic number.

10210001112 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 10210001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14219375040).

10210001112 is an abundant number, since it is smaller than the sum of its proper divisors (18228748968).

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

10210001112 is a wasteful number, since it uses less digits than its factorization.

10210001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5346 counting only the distinct ones).

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

Adding to 10210001112 its reverse (21110001201), we get a palindrome (31320002313).

The spelling of 10210001112 in words is "ten billion, two hundred ten million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 863 888 1332 1726 2589 2664 3452 4441 5178 6904 7767 8882 10356 13323 15534 17764 20712 26646 31068 31931 35528 39969 53292 62136 63862 79938 95793 106584 127724 159876 164317 191586 255448 287379 319752 328634 383172 492951 574758 657268 766344 985902 1149516 1314536 1478853 1971804 2299032 2957706 3832583 3943608 5915412 7665166 11497749 11830824 15330332 22995498 30660664 34493247 45990996 68986494 91981992 137972988 141805571 275945976 283611142 425416713 567222284 850833426 1134444568 1276250139 1701666852 2552500278 3403333704 5105000556 10210001112