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2310134420 = 22511217233241
BaseRepresentation
bin1000100110110001…
…1101101010010100
312221222220222200002
42021230131222110
514212343300140
61021122110432
7111150550526
oct21154355224
95858828602
102310134420
11a86013200
125457ab418
132aa7b2c59
1417cb49a16
15d7c24415
hex89b1da94

2310134420 has 144 divisors (see below), whose sum is σ = 5693832144. Its totient is φ = 783974400.

The previous prime is 2310134347. The next prime is 2310134429. The reversal of 2310134420 is 244310132.

2310134420 = T11816 + T11817 + ... + T11848.

It can be written as a sum of positive squares in 8 ways, for example, as 5750404 + 2304384016 = 2398^2 + 48004^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2310134392 and 2310134401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2310134429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9585500 + ... + 9585740.

It is an arithmetic number, because the mean of its divisors is an integer number (39540501).

Almost surely, 22310134420 is an apocalyptic number.

2310134420 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 2310134420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846916072).

2310134420 is an abundant number, since it is smaller than the sum of its proper divisors (3383697724).

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

2310134420 is a wasteful number, since it uses less digits than its factorization.

2310134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2310134420 is about 48063.8577311476. The cubic root of 2310134420 is about 1321.9420487687.

Adding to 2310134420 its reverse (244310132), we get a palindrome (2554444552).

The spelling of 2310134420 in words is "two billion, three hundred ten million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 233 241 242 340 374 466 482 484 605 748 932 935 964 1165 1205 1210 1870 2057 2330 2410 2420 2563 2651 3740 3961 4097 4114 4660 4820 5126 5302 7922 8194 8228 10252 10285 10604 12815 13255 15844 16388 19805 20485 20570 25630 26510 28193 29161 39610 40970 41140 43571 45067 51260 53020 56153 56386 58322 79220 81940 87142 90134 112306 112772 116644 140965 145805 174284 180268 217855 224612 225335 280765 281930 291610 435710 450670 479281 495737 561530 563860 583220 617683 871420 901340 954601 958562 991474 1123060 1235366 1909202 1917124 1982948 2396405 2470732 2478685 3088415 3818404 4773005 4792810 4957370 6176830 6794513 9546010 9585620 9914740 10500611 12353660 13589026 19092020 21001222 27178052 33972565 42002444 52503055 67945130 105006110 115506721 135890260 210012220 231013442 462026884 577533605 1155067210 2310134420