Search a number
-
+
210002000112120 = 233537471006335059
BaseRepresentation
bin101111101111111011100110…
…100111100110100111111000
31000112112222212110102112102110
4233233323212213212213320
5210011133044012041440
62022345330443532320
762143100221441566
oct5757734647464770
91015488773375373
10210002000112120
1160a05391360197
121b677964b2a0a0
1390241469007a8
1439c021863aa36
1519429798b8080
hexbefee69e69f8

210002000112120 has 128 divisors (see below), whose sum is σ = 660799853798400. Its totient is φ = 53327707393536.

The previous prime is 210002000112109. The next prime is 210002000112131. The reversal of 210002000112120 is 21211000200012.

It is an interprime number because it is at equal distance from previous prime (210002000112109) and next prime (210002000112131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210002000112096 and 210002000112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502958850 + ... + 503376209.

It is an arithmetic number, because the mean of its divisors is an integer number (5162498857800).

Almost surely, 2210002000112120 is an apocalyptic number.

210002000112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002000112120 is an abundant number, since it is smaller than the sum of its proper divisors (450797853686280).

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

210002000112120 is a wasteful number, since it uses less digits than its factorization.

210002000112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006335157 (or 1006335153 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210002000112120 its reverse (21211000200012), we get a palindrome (231213000312132).

The spelling of 210002000112120 in words is "two hundred ten trillion, two billion, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 47 60 74 94 111 120 141 148 185 188 222 235 282 296 370 376 444 470 555 564 705 740 888 940 1110 1128 1410 1480 1739 1880 2220 2820 3478 4440 5217 5640 6956 8695 10434 13912 17390 20868 26085 34780 41736 52170 69560 104340 208680 1006335059 2012670118 3019005177 4025340236 5031675295 6038010354 8050680472 10063350590 12076020708 15095025885 20126701180 24152041416 30190051770 37234397183 40253402360 47297747773 60380103540 74468794366 94595495546 111703191549 120760207080 141893243319 148937588732 186171985915 189190991092 223406383098 236488738865 283786486638 297875177464 372343971830 378381982184 446812766196 472977477730 558515957745 567572973276 709466216595 744687943660 893625532392 945954955460 1117031915490 1135145946552 1418932433190 1489375887320 1750016667601 1891909910920 2234063830980 2837864866380 3500033335202 4468127661960 5250050002803 5675729732760 7000066670404 8750083338005 10500100005606 14000133340808 17500166676010 21000200011212 26250250014015 35000333352020 42000400022424 52500500028030 70000666704040 105001000056060 210002000112120