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210012134214300 = 223521171896338601
BaseRepresentation
bin101111110000000101000010…
…101010001000101010011100
31000112120222000201112021011020
4233300011002222020222130
5210011314322324324200
62022354124220524140
762143606315051155
oct5760050252105234
91015528021467136
10210012134214300
1160a09711839150
121b6799129b0650
1390250a0311962
1439c08da50a92c
151942d6e414ea0
hexbf0142a88a9c

210012134214300 has 144 divisors (see below), whose sum is σ = 672210927247104. Its totient is φ = 50194961600000.

The previous prime is 210012134214217. The next prime is 210012134214307. The reversal of 210012134214300 is 3412431210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210012134214307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447935001 + ... + 448403600.

It is an arithmetic number, because the mean of its divisors is an integer number (4668131439216).

Almost surely, 2210012134214300 is an apocalyptic number.

210012134214300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210012134214300 is an abundant number, since it is smaller than the sum of its proper divisors (462198793032804).

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

210012134214300 is a wasteful number, since it uses less digits than its factorization.

210012134214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896338700 (or 896338693 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 210012134214300 its reverse (3412431210012), we get a palindrome (213424565424312).

The spelling of 210012134214300 in words is "two hundred ten trillion, twelve billion, one hundred thirty-four million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 71 75 100 110 132 142 150 165 213 220 275 284 300 330 355 426 550 660 710 781 825 852 1065 1100 1420 1562 1650 1775 2130 2343 3124 3300 3550 3905 4260 4686 5325 7100 7810 9372 10650 11715 15620 19525 21300 23430 39050 46860 58575 78100 117150 234300 896338601 1792677202 2689015803 3585354404 4481693005 5378031606 8963386010 9859724611 10756063212 13445079015 17926772020 19719449222 22408465025 26890158030 29579173833 39438898444 44816930050 49298623055 53780316060 59158347666 63640040671 67225395075 89633860100 98597246110 118316695332 127280081342 134450790150 147895869165 190920122013 197194492220 246493115275 254560162684 268901580300 295791738330 318200203355 381840244026 492986230550 591583476660 636400406710 700040447381 739479345825 763680488052 954600610065 985972461100 1272800813420 1400080894762 1478958691650 1591001016775 1909201220130 2100121342143 2800161789524 2957917383300 3182002033550 3500202236905 3818402440260 4200242684286 4773003050325 6364004067100 7000404473810 8400485368572 9546006100650 10500606710715 14000808947620 17501011184525 19092012201300 21001213421430 35002022369050 42002426842860 52503033553575 70004044738100 105006067107150 210012134214300