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322133210130130 = 25737599225192243
BaseRepresentation
bin100100100111110100111101…
…1100011110110011011010010
31120020120122010021121200210021
41021033221323203312123102
5314210312303243131010
63101041542002454054
7124565233150445260
oct11117517343663322
91506518107550707
10322133210130130
1193706a22139783
12301676a836432a
1310a99053bcc109
14597948b0b3430
1527396562858da
hex124fa7b8f66d2

322133210130130 has 128 divisors (see below), whose sum is σ = 682030587801600. Its totient is φ = 107232431904000.

The previous prime is 322133210130119. The next prime is 322133210130181. The reversal of 322133210130130 is 31031012331223.

It is a junction number, because it is equal to n+sod(n) for n = 322133210130095 and 322133210130104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3492177789 + ... + 3492270031.

It is an arithmetic number, because the mean of its divisors is an integer number (5328363967200).

Almost surely, 2322133210130130 is an apocalyptic number.

322133210130130 is an abundant number, since it is smaller than the sum of its proper divisors (359897377671470).

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

322133210130130 is a wasteful number, since it uses less digits than its factorization.

322133210130130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95144.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 322133210130130 its reverse (31031012331223), we get a palindrome (353164222461353).

The spelling of 322133210130130 in words is "three hundred twenty-two trillion, one hundred thirty-three billion, two hundred ten million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 37 70 74 185 259 370 518 599 1198 1295 2251 2590 2995 4193 4502 5990 8386 11255 15757 20965 22163 22510 31514 41930 44326 78785 83287 92243 110815 155141 157570 166574 184486 221630 310282 416435 461215 583009 645701 775705 832870 922430 1166018 1291402 1348349 1551410 2696698 2915045 3228505 3412991 5830090 6457010 6741745 6825982 9438443 13483490 17064955 18876886 23890937 34129910 47192215 47781874 49888913 55253557 94384430 99777826 110507114 119454685 207638993 238909370 249444565 276267785 349222391 386774899 415277986 498889130 552535570 698444782 773549798 1038194965 1453472951 1746111955 1933874495 2044381609 2076389930 2906945902 3492223910 3867748990 4088763218 7267364755 7682642741 10221908045 14310671263 14534729510 15365285482 20443816090 28621342526 38413213705 53778499187 71553356315 76826427410 107556998374 124375756807 143106712630 248751513614 268892495935 537784991870 621878784035 870630297649 1243757568070 1741260595298 4353151488245 4601903001859 8706302976490 9203806003718 23009515009295 32213321013013 46019030018590 64426642026026 161066605065065 322133210130130