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1201204004 = 2271113247491
BaseRepresentation
bin100011110011000…
…1110101100100100
310002201021111010012
41013212032230210
54430002012004
6315105545352
741524031330
oct10746165444
93081244105
101201204004
11567059390
12296345258
13161b26500
14b57647c0
15706c746e
hex4798eb24

1201204004 has 144 divisors (see below), whose sum is σ = 2904201216. Its totient is φ = 421948800.

The previous prime is 1201203989. The next prime is 1201204033. The reversal of 1201204004 is 4004021021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 1201204004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2446199 + ... + 2446689.

It is an arithmetic number, because the mean of its divisors is an integer number (20168064).

Almost surely, 21201204004 is an apocalyptic number.

1201204004 is a gapful number since it is divisible by the number (14) 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 1201204004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452100608).

1201204004 is an abundant number, since it is smaller than the sum of its proper divisors (1702997212).

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

1201204004 is a wasteful number, since it uses less digits than its factorization.

1201204004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1201204004 is about 34658.3900953290. The cubic root of 1201204004 is about 1063.0138518219.

Adding to 1201204004 its reverse (4004021021), we get a palindrome (5205225025).

The spelling of 1201204004 in words is "one billion, two hundred one million, two hundred four thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 47 52 77 91 94 143 154 169 182 188 286 308 329 338 364 491 517 572 611 658 676 982 1001 1034 1183 1222 1316 1859 1964 2002 2068 2366 2444 3437 3619 3718 4004 4277 4732 5401 6383 6721 6874 7238 7436 7943 8554 10802 12766 13013 13442 13748 14476 15886 17108 21604 23077 25532 26026 26884 31772 37807 44681 46154 47047 52052 55601 70213 75614 82979 87373 89362 92308 94094 111202 140426 151228 161539 165958 174746 178724 188188 222404 253847 280852 300001 323078 331916 349492 491491 507694 580853 600002 611611 646156 912769 982982 1015388 1161706 1200004 1223222 1776929 1825538 1965964 2100007 2323412 2446444 3300011 3553858 3651076 3900013 4200014 6389383 6600022 7107716 7800026 8400028 12778766 13200044 15600052 23100077 25557532 27300091 42900143 46200154 54600182 85800286 92400308 109200364 171600572 300301001 600602002 1201204004