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200520313014 = 23723124571553
BaseRepresentation
bin1011101010111111110…
…0010010100010110110
3201011120121100022202210
42322233330102202312
511241131200004024
6232041234114250
720326036352400
oct2725774224266
9634517308683
10200520313014
117804954205a
1232a41a1b986
1315ba8066cb8
1499c3243b70
155338ea1129
hex2eaff128b6

200520313014 has 144 divisors (see below), whose sum is σ = 483416915184. Its totient is φ = 55286461440.

The previous prime is 200520312953. The next prime is 200520313051. The reversal of 200520313014 is 410313025002.

200520313014 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129117262 + ... + 129118814.

It is an arithmetic number, because the mean of its divisors is an integer number (3357061911).

Almost surely, 2200520313014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200520313014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241708457592).

200520313014 is an abundant number, since it is smaller than the sum of its proper divisors (282896602170).

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

200520313014 is a wasteful number, since it uses less digits than its factorization.

200520313014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 200520313014 its reverse (410313025002), we get a palindrome (610833338016).

The spelling of 200520313014 in words is "two hundred billion, five hundred twenty million, three hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 457 651 914 961 1302 1371 1519 1553 1922 2742 2883 3038 3106 3199 4557 4659 5766 6398 6727 9114 9318 9597 10871 13454 14167 19194 20181 21742 22393 28334 32613 40362 42501 44786 47089 48143 65226 67179 76097 85002 94178 96286 99169 134358 141267 144429 152194 198338 228291 282534 288858 297507 337001 439177 456582 595014 674002 694183 709721 878354 1011003 1317531 1388366 1419442 1492433 2022006 2082549 2129163 2359007 2635062 2984866 3074239 4165098 4258326 4477299 4718014 4968047 6148478 7077021 8954598 9222717 9936094 10447031 14154042 14904141 18445434 20894062 21519673 22001351 29808282 31341093 34776329 43039346 44002702 62682186 64559019 66004053 69552658 73129217 104328987 129118038 132008106 146258434 154009457 208657974 219387651 308018914 438775302 462028371 682041881 924056742 1078066199 1364083762 2046125643 2156132398 3234198597 4092251286 4774293167 6468397194 9548586334 14322879501 28645759002 33420052169 66840104338 100260156507 200520313014