Search a number
-
+
1124223131000 = 235383118711411
BaseRepresentation
bin10000010111000000111…
…010111001110101111000
310222110211001011022121202
4100113000322321311320
5121404402110143000
62220243323153332
7144136203641504
oct20270072716570
93873731138552
101124223131000
113a3864715922
12161a70075848
138202439a198
143c5ac5c7304
151e39c369dd5
hex105c0eb9d78

1124223131000 has 128 divisors (see below), whose sum is σ = 2664853551360. Its totient is φ = 443858128000.

The previous prime is 1124223130913. The next prime is 1124223131033. The reversal of 1124223131000 is 1313224211.

It is a super-2 number, since 2×11242231310002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98515295 + ... + 98526705.

It is an arithmetic number, because the mean of its divisors is an integer number (20819168370).

Almost surely, 21124223131000 is an apocalyptic number.

1124223131000 is a gapful number since it is divisible by the number (10) 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 1124223131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332426775680).

1124223131000 is an abundant number, since it is smaller than the sum of its proper divisors (1540630420360).

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

1124223131000 is a wasteful number, since it uses less digits than its factorization.

1124223131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12702 (or 12688 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1124223131000 its reverse (1313224211), we get a palindrome (1125536355211).

The spelling of 1124223131000 in words is "one trillion, one hundred twenty-four billion, two hundred twenty-three million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1187 1660 2075 2374 3320 4150 4748 5935 8300 9496 10375 11411 11870 16600 20750 22822 23740 29675 41500 45644 47480 57055 59350 83000 91288 98521 114110 118700 148375 197042 228220 237400 285275 296750 394084 456440 492605 570550 593500 788168 947113 985210 1141100 1187000 1426375 1894226 1970420 2282200 2463025 2852750 3788452 3940840 4735565 4926050 5705500 7576904 9471130 9852100 11411000 12315125 13544857 18942260 19704200 23677825 24630250 27089714 37884520 47355650 49260500 54179428 67724285 94711300 98521000 108358856 118389125 135448570 189422600 236778250 270897140 338621425 473556500 541794280 677242850 947113000 1124223131 1354485700 1693107125 2248446262 2708971400 3386214250 4496892524 5621115655 6772428500 8993785048 11242231310 13544857000 22484462620 28105578275 44968925240 56211156550 112422313100 140527891375 224844626200 281055782750 562111565500 1124223131000