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201322130130 = 233511557121697
BaseRepresentation
bin1011101101111110111…
…0111110101011010010
3201020122111002212002000
42323133232332223102
511244301431131010
6232252555534430
720354643604542
oct2733756765322
9636574085060
10201322130130
1178420104130
123302645a416
1315ca5204cb4
149a5b923322
1553845867c0
hex2edfbbead2

201322130130 has 128 divisors (see below), whose sum is σ = 586720661760. Its totient is φ = 48717342720.

The previous prime is 201322130111. The next prime is 201322130167. The reversal of 201322130130 is 31031223102.

201322130130 is a `hidden beast` number, since 201 + 322 + 13 + 0 + 130 = 666.

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

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, 1593442 + ... + 1715138.

It is an arithmetic number, because the mean of its divisors is an integer number (4583755170).

Almost surely, 2201322130130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201322130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293360330880).

201322130130 is an abundant number, since it is smaller than the sum of its proper divisors (385398531630).

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

201322130130 is a wasteful number, since it uses less digits than its factorization.

201322130130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122281 (or 122275 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201322130130 its reverse (31031223102), we get a palindrome (232353353232).

The spelling of 201322130130 in words is "two hundred one billion, three hundred twenty-two million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 557 594 990 1114 1485 1671 2785 2970 3342 5013 5570 6127 8355 10026 12254 15039 16710 18381 25065 30078 30635 36762 50130 55143 61270 75195 91905 110286 121697 150390 165429 183810 243394 275715 330858 365091 551430 608485 730182 827145 1095273 1216970 1338667 1654290 1825455 2190546 2677334 3285819 3650910 4016001 5476365 6571638 6693335 8032002 10952730 12048003 13386670 16429095 20080005 24096006 32858190 36144009 40160010 60240015 67785229 72288018 120480030 135570458 180720045 203355687 338926145 361440090 406711374 610067061 677852290 745637519 1016778435 1220134122 1491275038 1830201183 2033556870 2236912557 3050335305 3660402366 3728187595 4473825114 6100670610 6710737671 7456375190 9151005915 11184562785 13421475342 18302011830 20132213013 22369125570 33553688355 40264426026 67107376710 100661065065 201322130130