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1014121224 = 233241834139
BaseRepresentation
bin111100011100100…
…100001100001000
32121200020200210100
4330130210030020
54034103334344
6244344045400
734062613434
oct7434441410
92550220710
101014121224
11480499316
12243763860
1313214283c
14989859c4
155e070569
hex3c724308

1014121224 has 96 divisors (see below), whose sum is σ = 2848154400. Its totient is φ = 325743360.

The previous prime is 1014121201. The next prime is 1014121231. The reversal of 1014121224 is 4221214101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1014121197 and 1014121206.

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, 242947 + ... + 247085.

It is an arithmetic number, because the mean of its divisors is an integer number (29668275).

Almost surely, 21014121224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424077200).

1014121224 is an abundant number, since it is smaller than the sum of its proper divisors (1834033176).

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

1014121224 is a wasteful number, since it uses less digits than its factorization.

1014121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4268 counting only the distinct ones).

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

The square root of 1014121224 is about 31845.2700412479. The cubic root of 1014121224 is about 1004.6850903160.

Adding to 1014121224 its reverse (4221214101), we get a palindrome (5235335325).

The spelling of 1014121224 in words is "one billion, fourteen million, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 83 123 164 166 246 249 328 332 369 492 498 664 738 747 984 996 1476 1494 1992 2952 2988 3403 4139 5976 6806 8278 10209 12417 13612 16556 20418 24834 27224 30627 33112 37251 40836 49668 61254 74502 81672 99336 122508 149004 169699 245016 298008 339398 343537 509097 678796 687074 1018194 1030611 1357592 1374148 1527291 2036388 2061222 2748296 3054582 3091833 4072776 4122444 6109164 6183666 8244888 12218328 12367332 14085017 24734664 28170034 42255051 56340068 84510102 112680136 126765153 169020204 253530306 338040408 507060612 1014121224