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2130332133120 = 28354113531073
BaseRepresentation
bin11111000000000001101…
…100001010011100000000
321112122202111202012120120
4133000001230022130000
5234400410011224440
64310354442540240
7306624421233402
oct37000154123400
97478674665516
102130332133120
11751517a514a4
122a4a57b07680
13125b741a7879
14751740d4b72
153a63509add0
hex1f001b0a700

2130332133120 has 144 divisors (see below), whose sum is σ = 6969693844512. Its totient is φ = 554232709120.

The previous prime is 2130332133073. The next prime is 2130332133211. The reversal of 2130332133120 is 213312330312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6608097 + ... + 6922976.

It is an arithmetic number, because the mean of its divisors is an integer number (48400651698).

Almost surely, 22130332133120 is an apocalyptic number.

2130332133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130332133120 is an abundant number, since it is smaller than the sum of its proper divisors (4839361711392).

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

2130332133120 is a wasteful number, since it uses less digits than its factorization.

2130332133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13531138 (or 13531124 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2130332133120 its reverse (213312330312), we get a palindrome (2343644463432).

The spelling of 2130332133120 in words is "two trillion, one hundred thirty billion, three hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 615 640 656 768 820 960 984 1230 1280 1312 1640 1920 1968 2460 2624 3280 3840 3936 4920 5248 6560 7872 9840 10496 13120 15744 19680 26240 31488 39360 52480 78720 157440 13531073 27062146 40593219 54124292 67655365 81186438 108248584 135310730 162372876 202966095 216497168 270621460 324745752 405932190 432994336 541242920 554773993 649491504 811864380 865988672 1082485840 1109547986 1298983008 1623728760 1664321979 1731977344 2164971680 2219095972 2597966016 2773869965 3247457520 3328643958 3463954688 4329943360 4438191944 5195932032 5547739930 6494915040 6657287916 8321609895 8659886720 8876383888 10391864064 11095479860 12989830080 13314575832 16643219790 17319773440 17752767776 22190959720 25979660160 26629151664 33286439580 35505535552 44381919440 51959320320 53258303328 66572879160 71011071104 88763838880 106516606656 133145758320 142022142208 177527677760 213033213312 266291516640 355055355520 426066426624 532583033280 710110711040 1065166066560 2130332133120