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210220001002900 = 22527319322571737
BaseRepresentation
bin101111110011000110101000…
…011111000000010110010100
31000120022211120022120012212101
4233303012220133000112110
5210023221030224043100
62023033422451331444
762164615411441000
oct5763065037002624
91016284508505771
10210220001002900
1160a89890162029
121b6b2064bb0b84
13903b8793a2815
1439ca9b92db700
15194848831e86a
hexbf31a87c0594

210220001002900 has 144 divisors (see below), whose sum is σ = 559984537168000. Its totient is φ = 68281985076480.

The previous prime is 210220001002853. The next prime is 210220001002901. The reversal of 210220001002900 is 9200100022012.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210220001002901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160634169 + ... + 161937568.

Almost surely, 2210220001002900 is an apocalyptic number.

210220001002900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210220001002900 is an abundant number, since it is smaller than the sum of its proper divisors (349764536165100).

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

210220001002900 is a wasteful number, since it uses less digits than its factorization.

210220001002900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322571791 (or 322571770 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 210220001002900 its reverse (9200100022012), we get a palindrome (219420101024912).

The spelling of 210220001002900 in words is "two hundred ten trillion, two hundred twenty billion, one million, two thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 49 50 70 76 95 98 100 133 140 175 190 196 245 266 343 350 380 475 490 532 665 686 700 931 950 980 1225 1330 1372 1715 1862 1900 2450 2660 3325 3430 3724 4655 4900 6517 6650 6860 8575 9310 13034 13300 17150 18620 23275 26068 32585 34300 46550 65170 93100 130340 162925 325850 651700 322571737 645143474 1290286948 1612858685 2258002159 3225717370 4516004318 6128863003 6451434740 8064293425 9032008636 11290010795 12257726006 15806015113 16128586850 22580021590 24515452012 30644315015 31612030226 32257173700 42902041021 45160043180 56450053975 61288630030 63224060452 79030075565 85804082042 110642105791 112900107950 122577260060 153221575075 158060151130 171608164084 214510205105 221284211582 225800215900 300314287147 306443150150 316120302260 395150377825 429020410210 442568423164 553210528955 600628574294 612886300300 790300755650 858040820420 1072551025525 1106421057910 1201257148588 1501571435735 1580601511300 2102200010029 2145102051050 2212842115820 2766052644775 3003142871470 4204400020058 4290204102100 5532105289550 6006285742940 7507857178675 8408800040116 10511000050145 11064210579100 15015714357350 21022000100290 30031428714700 42044000200580 52555000250725 105110000501450 210220001002900