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101200322004 = 223298325713633
BaseRepresentation
bin101111001000000000…
…0100101110111010100
3100200012211021000111020
41132100000211313110
53124224240301004
6114254002041140
710211560354365
oct1362000456724
9320184230436
10101200322004
1139a11a41861
12177439491b0
13970a3b7652
144c80635b6c
1529747da8d9
hex1790025dd4

101200322004 has 96 divisors (see below), whose sum is σ = 248199880320. Its totient is φ = 32050249728.

The previous prime is 101200321993. The next prime is 101200322039. The reversal of 101200322004 is 400223002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7416372 + ... + 7430004.

It is an arithmetic number, because the mean of its divisors is an integer number (2585415420).

Almost surely, 2101200322004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101200322004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124099940160).

101200322004 is an abundant number, since it is smaller than the sum of its proper divisors (146999558316).

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

101200322004 is a wasteful number, since it uses less digits than its factorization.

101200322004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14009 (or 14007 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 101200322004 its reverse (400223002101), we get a palindrome (501423324105).

The spelling of 101200322004 in words is "one hundred one billion, two hundred million, three hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 12 29 58 83 87 116 166 174 249 257 332 348 498 514 771 996 1028 1542 2407 3084 4814 7221 7453 9628 13633 14442 14906 21331 22359 27266 28884 29812 40899 42662 44718 54532 63993 81798 85324 89436 127986 163596 255972 395357 618599 790714 1131539 1186071 1237198 1581428 1855797 2263078 2372142 2474396 3394617 3503681 3711594 4526156 4744284 6789234 7007362 7423188 10511043 13578468 14014724 21022086 32814631 42044172 65629262 98443893 101606749 131258524 196887786 203213498 290805523 304820247 393775572 406426996 581611046 609640494 872416569 1163222092 1219280988 1744833138 3489666276 8433360167 16866720334 25300080501 33733440668 50600161002 101200322004