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1012214412 = 2232112639719
BaseRepresentation
bin111100010101010…
…010101010001100
32121112122211010200
4330111102222030
54033111330122
6244235133500
734040452266
oct7425225214
92545584120
101012214412
1147a406740
12242ba4290
13131925951
149860ab36
155dce55ac
hex3c552a8c

1012214412 has 72 divisors (see below), whose sum is σ = 2802159360. Its totient is φ = 305533920.

The previous prime is 1012214407. The next prime is 1012214447. The reversal of 1012214412 is 2144122101.

1012214412 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 441 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 99289 + ... + 109007.

It is an arithmetic number, because the mean of its divisors is an integer number (38918880).

Almost surely, 21012214412 is an apocalyptic number.

1012214412 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 1012214412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401079680).

1012214412 is an abundant number, since it is smaller than the sum of its proper divisors (1789944948).

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

1012214412 is a wasteful number, since it uses less digits than its factorization.

1012214412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003 (or 9998 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1012214412 is about 31815.3172544295. The cubic root of 1012214412 is about 1004.0550053725.

Adding to 1012214412 its reverse (2144122101), we get a palindrome (3156336513).

The spelling of 1012214412 in words is "one billion, twelve million, two hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 263 396 526 789 1052 1578 2367 2893 3156 4734 5786 8679 9468 9719 11572 17358 19438 26037 29157 34716 38876 52074 58314 87471 104148 106909 116628 174942 213818 320727 349884 427636 641454 962181 1282908 1924362 2556097 3848724 5112194 7668291 10224388 15336582 23004873 28117067 30673164 46009746 56234134 84351201 92019492 112468268 168702402 253053603 337404804 506107206 1012214412