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103230200034 = 23513210211231
BaseRepresentation
bin110000000100011111…
…1111101100011100010
3100212110021211111200000
41200020333331203202
53142403412400114
6115231233240430
710313066136213
oct1401077754342
9325407744600
10103230200034
113a863836205
121800b703116
139971ac3300
144dd406b40a
152a42b00e09
hex1808ffd8e2

103230200034 has 144 divisors (see below), whose sum is σ = 251614306944. Its totient is φ = 31706251200.

The previous prime is 103230200027. The next prime is 103230200141. The reversal of 103230200034 is 430002032301.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83858199 + ... + 83859429.

It is an arithmetic number, because the mean of its divisors is an integer number (1747321576).

Almost surely, 2103230200034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103230200034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125807153472).

103230200034 is an abundant number, since it is smaller than the sum of its proper divisors (148384106910).

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

103230200034 is a wasteful number, since it uses less digits than its factorization.

103230200034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 103230200034 its reverse (430002032301), we get a palindrome (533232232335).

The spelling of 103230200034 in words is "one hundred three billion, two hundred thirty million, two hundred thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 243 338 351 486 507 702 1014 1021 1053 1231 1521 2042 2106 2462 3042 3063 3159 3693 4563 6126 6318 7386 9126 9189 11079 13273 13689 16003 18378 22158 26546 27378 27567 32006 33237 39819 41067 48009 55134 66474 79638 82134 82701 96018 99711 119457 144027 165402 172549 199422 208039 238914 248103 288054 299133 345098 358371 416078 432081 496206 517647 598266 624117 716742 864162 1035294 1075113 1248234 1256851 1296243 1552941 1872351 2150226 2513702 2592486 3105882 3225339 3744702 3770553 3888729 4658823 5617053 6450678 7541106 7777458 9317646 11234106 11311659 13976469 16339063 16851159 22623318 27952938 32678126 33702318 33934977 41929407 49017189 50553477 67869954 83858814 98034378 101106954 101804931 147051567 203609862 212407819 294103134 305414793 424815638 441154701 610829586 637223457 882309402 1274446914 1323464103 1911670371 2646928206 3823340742 3970392309 5735011113 7940784618 11470022226 17205033339 34410066678 51615100017 103230200034