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10021001112 = 23321074492897
BaseRepresentation
bin10010101010100110…
…00101011110011000
3221212101021121020100
421111103011132120
5131010334013422
64334212455400
7503221050453
oct112523053630
927771247210
1010021001112
114282659501
121b3801a560
13c39161475
146b0c6c49a
153d9b5a7ac
hex2554c5798

10021001112 has 96 divisors (see below), whose sum is σ = 27464346000. Its totient is φ = 3300605952.

The previous prime is 10021001093. The next prime is 10021001149. The reversal of 10021001112 is 21110012001.

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 = 10021001094 and 10021001103.

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, 3457648 + ... + 3460544.

Almost surely, 210021001112 is an apocalyptic number.

10021001112 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 10021001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13732173000).

10021001112 is an abundant number, since it is smaller than the sum of its proper divisors (17443344888).

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

10021001112 is a wasteful number, since it uses less digits than its factorization.

10021001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3458 counting only the distinct ones).

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

Adding to 10021001112 its reverse (21110012001), we get a palindrome (31131013113).

The spelling of 10021001112 in words is "ten billion, twenty-one million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 449 642 856 898 963 1284 1347 1796 1926 2568 2694 2897 3592 3852 4041 5388 5794 7704 8082 8691 10776 11588 16164 17382 23176 26073 32328 34764 48043 52146 69528 96086 104292 144129 192172 208584 288258 309979 384344 432387 576516 619958 864774 929937 1153032 1239916 1300753 1729548 1859874 2479832 2601506 2789811 3459096 3719748 3902259 5203012 5579622 7439496 7804518 10406024 11159244 11706777 15609036 22318488 23413554 31218072 46827108 93654216 139180571 278361142 417541713 556722284 835083426 1113444568 1252625139 1670166852 2505250278 3340333704 5010500556 10021001112