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2131133333232 = 2431011051418259
BaseRepresentation
bin11111000000110001011…
…100011111111011110000
321112201211100100101111210
4133000301130133323300
5234404030113130412
64311010143240120
7306653320305651
oct37006134377360
97481740311453
102131133333232
11751899231a52
122a50402a9040
13125c7118aa87
147520c693528
153a6805ad83c
hex1f03171fef0

2131133333232 has 80 divisors (see below), whose sum is σ = 5565240408960. Its totient is φ = 702673440000.

The previous prime is 2131133333221. The next prime is 2131133333297. The reversal of 2131133333232 is 2323333311312.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2131133333232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4886119 + ... + 5304377.

It is an arithmetic number, because the mean of its divisors is an integer number (69565505112).

Almost surely, 22131133333232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131133333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782620204480).

2131133333232 is an abundant number, since it is smaller than the sum of its proper divisors (3434107075728).

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

2131133333232 is a wasteful number, since it uses less digits than its factorization.

2131133333232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419422 (or 419416 counting only the distinct ones).

The product of its digits is 17496, while the sum is 30.

Adding to 2131133333232 its reverse (2323333311312), we get a palindrome (4454466644544).

The spelling of 2131133333232 in words is "two trillion, one hundred thirty-one billion, one hundred thirty-three million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1051 1212 1616 2102 2424 3153 4204 4848 6306 8408 12612 16816 25224 50448 106151 212302 318453 418259 424604 636906 836518 849208 1254777 1273812 1673036 1698416 2509554 2547624 3346072 5019108 5095248 6692144 10038216 20076432 42244159 84488318 126732477 168976636 253464954 337953272 439590209 506929908 675906544 879180418 1013859816 1318770627 1758360836 2027719632 2637541254 3516721672 5275082508 7033443344 10550165016 21100330032 44398611109 88797222218 133195833327 177594444436 266391666654 355188888872 532783333308 710377777744 1065566666616 2131133333232