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10110022000 = 245313601647
BaseRepresentation
bin10010110101001101…
…01011000101110000
3222002120210022221021
421122212223011300
5131201131201000
64351112505224
7505351524541
oct113246530560
928076708837
1010110022000
114318931191
121b619ab214
13c5172c850
146bca024c8
153e289211a
hex25a9ab170

10110022000 has 160 divisors (see below), whose sum is σ = 26411059584. Its totient is φ = 3720960000.

The previous prime is 10110021991. The next prime is 10110022001. The reversal of 10110022000 is 22001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110022001) 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, 15625677 + ... + 15626323.

Almost surely, 210110022000 is an apocalyptic number.

10110022000 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 10110022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205529792).

10110022000 is an abundant number, since it is smaller than the sum of its proper divisors (16301037584).

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

10110022000 is a wasteful number, since it uses less digits than its factorization.

10110022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10110022000 its reverse (22001101), we get a palindrome (10132023101).

The spelling of 10110022000 in words is "ten billion, one hundred ten million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 601 647 650 1000 1040 1202 1294 1300 1625 2000 2404 2588 2600 3005 3235 3250 4808 5176 5200 6010 6470 6500 7813 8411 9616 10352 12020 12940 13000 15025 15626 16175 16822 24040 25880 26000 30050 31252 32350 33644 39065 42055 48080 51760 60100 62504 64700 67288 75125 78130 80875 84110 120200 125008 129400 134576 150250 156260 161750 168220 195325 210275 240400 258800 300500 312520 323500 336440 388847 390650 420550 601000 625040 647000 672880 777694 781300 841100 976625 1051375 1202000 1294000 1555388 1562600 1682200 1944235 1953250 2102750 3110776 3125200 3364400 3888470 3906500 4205500 5055011 6221552 7776940 7813000 8411000 9721175 10110022 15553880 15626000 16822000 19442350 20220044 25275055 31107760 38884700 40440088 48605875 50550110 77769400 80880176 97211750 101100220 126375275 155538800 194423500 202200440 252750550 388847000 404400880 505501100 631876375 777694000 1011002200 1263752750 2022004400 2527505500 5055011000 10110022000