Search a number
-
+
10000124233000 = 2353117013129631
BaseRepresentation
bin1001000110000101010111…
…0110100100010100101000
31022102000001211222221110121
42101201111312210110220
52302320223300424000
633133554343453024
72051325254325526
oct221412566442450
938360054887417
1010000124233000
113206035477120
121156111457174
13577013b05085
1426801982b316
151251d5cd2b1a
hex91855da4528

10000124233000 has 128 divisors (see below), whose sum is σ = 25531426851840. Its totient is φ = 3635862240000.

The previous prime is 10000124232961. The next prime is 10000124233009. The reversal of 10000124233000 is 33242100001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10000124233009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77078185 + ... + 77207815.

It is an arithmetic number, because the mean of its divisors is an integer number (199464272280).

Almost surely, 210000124233000 is an apocalyptic number.

10000124233000 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 10000124233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765713425920).

10000124233000 is an abundant number, since it is smaller than the sum of its proper divisors (15531302618840).

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

10000124233000 is a wasteful number, since it uses less digits than its factorization.

10000124233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136676 (or 136662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10000124233000 its reverse (33242100001), we get a palindrome (10033366333001).

The spelling of 10000124233000 in words is "ten trillion, one hundred twenty-four million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 7013 11000 14026 28052 35065 56104 70130 77143 129631 140260 154286 175325 259262 280520 308572 350650 385715 518524 617144 648155 701300 771430 876625 1037048 1296310 1402600 1425941 1542860 1753250 1928575 2592620 2851882 3085720 3240775 3506500 3857150 5185240 5703764 6481550 7013000 7129705 7714300 9642875 11407528 12963100 14259410 15428600 16203875 19285750 25926200 28518820 32407750 35648525 38571500 57037640 64815500 71297050 77143000 129631000 142594100 178242625 285188200 356485250 712970500 909102203 1425941000 1818204406 3636408812 4545511015 7272817624 9091022030 10000124233 18182044060 20000248466 22727555075 36364088120 40000496932 45455110150 50000621165 80000993864 90910220300 100001242330 113637775375 181820440600 200002484660 227275550750 250003105825 400004969320 454551101500 500006211650 909102203000 1000012423300 1250015529125 2000024846600 2500031058250 5000062116500 10000124233000