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10233100000 = 2555313301
BaseRepresentation
bin10011000011111000…
…01011011011100000
3222102011101100012201
421201330023123200
5131424133200000
64411230502544
7511404625534
oct114174133340
928364340181
1010233100000
114381355542
121b97064a54
13c71093776
146d10bdbc4
153ed5a496a
hex261f0b6e0

10233100000 has 144 divisors (see below), whose sum is σ = 26001585792. Its totient is φ = 3960000000.

The previous prime is 10233099979. The next prime is 10233100001. The reversal of 10233100000 is 133201.

It is a super-2 number, since 2×102331000002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10233100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3098350 + ... + 3101650.

It is an arithmetic number, because the mean of its divisors is an integer number (180566568).

Almost surely, 210233100000 is an apocalyptic number.

10233100000 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 10233100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13000792896).

10233100000 is an abundant number, since it is smaller than the sum of its proper divisors (15768485792).

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

10233100000 is an frugal number, since it uses more digits than its factorization.

10233100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10233100000 its reverse (133201), we get a palindrome (10233233201).

The spelling of 10233100000 in words is "ten billion, two hundred thirty-three million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 625 775 800 992 1000 1240 1250 1550 2000 2480 2500 3100 3125 3301 3875 4000 4960 5000 6200 6250 6602 7750 10000 12400 12500 13204 15500 16505 19375 20000 24800 25000 26408 31000 33010 38750 50000 52816 62000 66020 77500 82525 96875 100000 102331 105632 124000 132040 155000 165050 193750 204662 264080 310000 330100 387500 409324 412625 511655 528160 620000 660200 775000 818648 825250 1023310 1320400 1550000 1637296 1650500 2046620 2063125 2558275 2640800 3100000 3274592 3301000 4093240 4126250 5116550 6602000 8186480 8252500 10233100 10315625 12791375 13204000 16372960 16505000 20466200 20631250 25582750 33010000 40932400 41262500 51165500 63956875 66020000 81864800 82525000 102331000 127913750 165050000 204662000 255827500 319784375 330100000 409324000 511655000 639568750 1023310000 1279137500 2046620000 2558275000 5116550000 10233100000