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2130021320 = 2357101109691
BaseRepresentation
bin111111011110101…
…1000101111001000
312111110000021221112
41332331120233020
513330241140240
6551205425452
7103532611460
oct17675305710
95443007845
102130021320
119a33835a9
124b540b288
1327c39c75b
14162c62ba0
15c6ee7665
hex7ef58bc8

2130021320 has 128 divisors (see below), whose sum is σ = 5590252800. Its totient is φ = 715392000.

The previous prime is 2130021259. The next prime is 2130021323. The reversal of 2130021320 is 231200312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2130021295 and 2130021304.

It is not an unprimeable number, because it can be changed into a prime (2130021323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3082175 + ... + 3082865.

It is an arithmetic number, because the mean of its divisors is an integer number (43673850).

Almost surely, 22130021320 is an apocalyptic number.

2130021320 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 2130021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795126400).

2130021320 is an abundant number, since it is smaller than the sum of its proper divisors (3460231480).

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

2130021320 is a wasteful number, since it uses less digits than its factorization.

2130021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2130021320 is about 46152.1540125702. The cubic root of 2130021320 is about 1286.6526440643.

Adding to 2130021320 its reverse (231200312), we get a palindrome (2361221632).

The spelling of 2130021320 in words is "two billion, one hundred thirty million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 109 140 202 218 280 404 436 505 545 691 707 763 808 872 1010 1090 1382 1414 1526 2020 2180 2764 2828 3052 3455 3535 3815 4040 4360 4837 5528 5656 6104 6910 7070 7630 9674 11009 13820 14140 15260 19348 22018 24185 27640 28280 30520 38696 44036 48370 55045 69791 75319 77063 88072 96740 110090 139582 150638 154126 193480 220180 279164 301276 308252 348955 376595 385315 440360 488537 527233 558328 602552 616504 697910 753190 770630 977074 1054466 1395820 1506380 1541260 1954148 2108932 2442685 2636165 2791640 3012760 3082520 3908296 4217864 4885370 5272330 7607219 9770740 10544660 15214438 19541480 21089320 30428876 38036095 53250533 60857752 76072190 106501066 152144380 213002132 266252665 304288760 426004264 532505330 1065010660 2130021320