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1213527042 = 233721335279
BaseRepresentation
bin100100001010100…
…1111010000000010
310010120110120011000
41020111033100002
54441130331132
6320230032430
742033544500
oct11025172002
93116416130
101213527042
11573005912
1229a4a8716
1316454c550
14b7251670
157180d87c
hex4854f402

1213527042 has 96 divisors (see below), whose sum is σ = 3378412800. Its totient is φ = 320042016.

The previous prime is 1213526983. The next prime is 1213527067. The reversal of 1213527042 is 2407253121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1213526997 and 1213527015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16759 + ... + 52037.

It is an arithmetic number, because the mean of its divisors is an integer number (35191800).

Almost surely, 21213527042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213527042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689206400).

1213527042 is an abundant number, since it is smaller than the sum of its proper divisors (2164885758).

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

1213527042 is a wasteful number, since it uses less digits than its factorization.

1213527042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35317 (or 35304 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1213527042 is about 34835.7150350039. The cubic root of 1213527042 is about 1066.6366108502.

The spelling of 1213527042 in words is "one billion, two hundred thirteen million, five hundred twenty-seven thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 234 273 294 351 378 441 546 637 702 819 882 1274 1323 1638 1911 2457 2646 3822 4914 5733 11466 17199 34398 35279 70558 105837 211674 246953 317511 458627 493906 635022 740859 917254 952533 1375881 1481718 1728671 1905066 2222577 2751762 3210389 3457342 4127643 4445154 5186013 6420778 6667731 8255286 9631167 10372026 12382929 13335462 15558039 19262334 22472723 24765858 28893501 31116078 44945446 46674117 57787002 67418169 86680503 93348234 134836338 173361006 202254507 404509014 606763521 1213527042