Search a number
-
+
2132002301100 = 2235277912851129
BaseRepresentation
bin11111000001100101001…
…111010110010010101100
321112211001220110112022220
4133001211033112102230
5234412320042113400
64311232304235340
7310014001356660
oct37014517262254
97484056415286
102132002301100
117521a4799411
122a524330bb50
1312607c20a749
1475291c528a0
153a6d1a0a7a0
hex1f0653d64ac

2132002301100 has 144 divisors (see below), whose sum is σ = 7139059737600. Its totient is φ = 481146232320.

The previous prime is 2132002301027. The next prime is 2132002301111. The reversal of 2132002301100 is 11032002312.

It is a super-2 number, since 2×21320023011002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2132002301100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6259665 + ... + 6591464.

Almost surely, 22132002301100 is an apocalyptic number.

2132002301100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132002301100 is an abundant number, since it is smaller than the sum of its proper divisors (5007057436500).

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

2132002301100 is a wasteful number, since it uses less digits than its factorization.

2132002301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12851232 (or 12851225 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2132002301100 its reverse (11032002312), we get a palindrome (2143034303412).

The spelling of 2132002301100 in words is "two trillion, one hundred thirty-two billion, two million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 79 84 100 105 140 150 158 175 210 237 300 316 350 395 420 474 525 553 700 790 948 1050 1106 1185 1580 1659 1975 2100 2212 2370 2765 3318 3950 4740 5530 5925 6636 7900 8295 11060 11850 13825 16590 23700 27650 33180 41475 55300 82950 165900 12851129 25702258 38553387 51404516 64255645 77106774 89957903 128511290 154213548 179915806 192766935 257022580 269873709 321278225 359831612 385533870 449789515 539747418 642556450 771067740 899579030 963834675 1015239191 1079494836 1285112900 1349368545 1799158060 1927669350 2030478382 2248947575 2698737090 3045717573 3855338700 4060956764 4497895150 5076195955 5397474180 6091435146 6746842725 7106674337 8995790300 10152391910 12182870292 13493685450 14213348674 15228587865 20304783820 21320023011 25380979775 26987370900 28426697348 30457175730 35533371685 42640046022 50761959550 60914351460 71066743370 76142939325 85280092044 101523919100 106600115055 142133486740 152285878650 177666858425 213200230110 304571757300 355333716850 426400460220 533000575275 710667433700 1066001150550 2132002301100