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2155101340 = 225724771659
BaseRepresentation
bin1000000001110100…
…0011110010011100
312120012012111021011
42000131003302130
513403201220330
6553503145004
7104256026200
oct20035036234
95505174234
102155101340
11a06553597
125018a5164
132846411c2
14166310b00
15c92ed82a
hex80743c9c

2155101340 has 144 divisors (see below), whose sum is σ = 5460618240. Its totient is φ = 711903360.

The previous prime is 2155101253. The next prime is 2155101341. The reversal of 2155101340 is 431015512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155101341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3269931 + ... + 3270589.

It is an arithmetic number, because the mean of its divisors is an integer number (37920960).

Almost surely, 22155101340 is an apocalyptic number.

2155101340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2155101340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730309120).

2155101340 is an abundant number, since it is smaller than the sum of its proper divisors (3305516900).

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

2155101340 is a wasteful number, since it uses less digits than its factorization.

2155101340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 2155101340 is about 46423.0690497731. The cubic root of 2155101340 is about 1291.6828666624.

Adding to 2155101340 its reverse (431015512), we get a palindrome (2586116852).

The spelling of 2155101340 in words is "two billion, one hundred fifty-five million, one hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 71 94 98 140 142 188 196 235 245 284 329 355 470 490 497 658 659 710 940 980 994 1316 1318 1420 1645 1988 2303 2485 2636 3290 3295 3337 3479 4606 4613 4970 6580 6590 6674 6958 9212 9226 9940 11515 13180 13348 13916 16685 17395 18452 23030 23065 23359 30973 32291 33370 34790 46060 46130 46718 46789 61946 64582 66740 69580 92260 93436 93578 116795 123892 129164 154865 161455 163513 187156 216811 233590 233945 309730 322910 327026 327523 433622 467180 467890 619460 645820 654052 655046 817565 867244 935780 1084055 1310092 1517677 1635130 1637615 2168110 2199083 2292661 3035354 3270260 3275230 4336220 4398166 4585322 6070708 6550460 7588385 8796332 9170644 10995415 11463305 15176770 15393581 21990830 22926610 30353540 30787162 43981660 45853220 61574324 76967905 107755067 153935810 215510134 307871620 431020268 538775335 1077550670 2155101340