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210301142113100 = 225231412017820333
BaseRepresentation
bin101111110100010010001100…
…110111110001101101001100
31000120121121000011212200210002
4233310102030313301231030
5210031033214340104400
62023135002211103432
762203520230466333
oct5764221467615514
91016547004780702
10210301142113100
1161010239202095
121b70592aba1b78
13904640aa5026c
1439d08b5836d1a
15194a636a94ed5
hexbf448cdf1b4c

210301142113100 has 144 divisors (see below), whose sum is σ = 482804018731776. Its totient is φ = 79381886976000.

The previous prime is 210301142113087. The next prime is 210301142113217. The reversal of 210301142113100 is 1311241103012.

It is a super-2 number, since 2×2103011421131002 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255950534 + ... + 256770866.

Almost surely, 2210301142113100 is an apocalyptic number.

210301142113100 is a gapful number since it is divisible by the number (20) 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 210301142113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241402009365888).

210301142113100 is an abundant number, since it is smaller than the sum of its proper divisors (272502876618676).

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

210301142113100 is a wasteful number, since it uses less digits than its factorization.

210301142113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822436 (or 822429 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 210301142113100 its reverse (1311241103012), we get a palindrome (211612383216112).

The spelling of 210301142113100 in words is "two hundred ten trillion, three hundred one billion, one hundred forty-two million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 41 50 62 82 100 124 155 164 205 310 410 620 775 820 1025 1271 1550 2017 2050 2542 3100 4034 4100 5084 6355 8068 10085 12710 20170 25420 31775 40340 50425 62527 63550 82697 100850 125054 127100 165394 201700 250108 312635 330788 413485 625270 820333 826970 1250540 1563175 1640666 1653940 2067425 2563607 3126350 3281332 4101665 4134850 5127214 6252700 8203330 8269700 10254428 12818035 16406660 20508325 25430323 25636070 33633653 41016650 50860646 51272140 64090175 67267306 82033300 101721292 127151615 128180350 134534612 168168265 254303230 256360700 336336530 508606460 635758075 672673060 840841325 1042643243 1271516150 1654611661 1681682650 2085286486 2543032300 3309223322 3363365300 4170572972 5213216215 6618446644 8273058305 10426432430 16546116610 20852864860 26066081075 33092233220 41365291525 51292961491 52132162150 67839078101 82730583050 102585922982 104264324300 135678156202 165461166100 205171845964 256464807455 271356312404 339195390505 512929614910 678390781010 1025859229820 1282324037275 1356781562020 1695976952525 2103011421131 2564648074550 3391953905050 4206022842262 5129296149100 6783907810100 8412045684524 10515057105655 21030114211310 42060228422620 52575285528275 105150571056550 210301142113100