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3381306201 = 3472132712
BaseRepresentation
bin1100100110001010…
…1010001101011001
322201122112011010000
43021202222031121
523411103244301
61315305043213
7146535425400
oct31142521531
98648464100
103381306201
111485728439
127a4486509
1341b6ac100
14241102637
1514bcb3786
hexc98aa359

3381306201 has 135 divisors (see below), whose sum is σ = 6453378063. Its totient is φ = 1758425760.

The previous prime is 3381306193. The next prime is 3381306211. The reversal of 3381306201 is 1026031833.

It is a happy number.

The square root of 3381306201 is 58149.

It is a perfect power (a square), and thus also a powerful number.

3381306201 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 30 + 620 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 500193225 + 2881112976 = 22365^2 + 53676^2 .

It is not a de Polignac number, because 3381306201 - 23 = 3381306193 is a prime.

It is a super-2 number, since 2×33813062012 = 22866463249842104802, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3381306211) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 47623996 + ... + 47624066.

Almost surely, 23381306201 is an apocalyptic number.

3381306201 is the 58149-th square number.

3381306201 is the 29075-th centered octagonal number.

It is an amenable number.

3381306201 is a deficient number, since it is larger than the sum of its proper divisors (3072071862).

3381306201 is an equidigital number, since it uses as much as digits as its factorization.

3381306201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 3381306201 is about 1500.9336707187.

The spelling of 3381306201 in words is "three billion, three hundred eighty-one million, three hundred six thousand, two hundred one".

Divisors: 1 3 7 9 13 21 27 39 49 63 71 81 91 117 147 169 189 213 273 351 441 497 507 567 637 639 819 923 1053 1183 1323 1491 1521 1911 1917 2457 2769 3479 3549 3969 4473 4563 5041 5733 5751 6461 7371 8281 8307 10437 10647 11999 13419 13689 15123 17199 19383 24843 24921 31311 31941 35287 35997 40257 45227 45369 51597 58149 65533 74529 74763 83993 93933 95823 105861 107991 135681 136107 174447 196599 223587 247009 251979 281799 317583 323973 407043 408321 458731 523341 587951 589797 670761 741027 755937 851929 952749 971919 1221129 1376193 1763853 1769391 2223081 2267811 2555787 2858247 3211117 3663387 4128579 5291559 5308173 5963503 6669243 6803433 7667361 9633351 12385737 15874677 17890509 20007729 23002083 28900053 37157211 41744521 47624031 53671527 69006249 86700159 125233563 161014581 260100477 375700689 483043743 1127102067 3381306201