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211002202000 = 2453297151239
BaseRepresentation
bin1100010010000010110…
…1100001011110010000
3202011122002212110022101
43010200231201132100
511424113030431000
6240533313250144
721146555060452
oct3044055413620
9664562773271
10211002202000
1181538273427
1234a88263954
1316b88837b85
14a2d93a62d2
15574e2eae6a
hex3120b61790

211002202000 has 160 divisors (see below), whose sum is σ = 535240742400. Its totient is φ = 80341184000.

The previous prime is 211002201953. The next prime is 211002202043. The reversal of 211002202000 is 202200112.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 4092381 + ... + 4143619.

It is an arithmetic number, because the mean of its divisors is an integer number (3345254640).

Almost surely, 2211002202000 is an apocalyptic number.

211002202000 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 211002202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267620371200).

211002202000 is an abundant number, since it is smaller than the sum of its proper divisors (324238540400).

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

211002202000 is a wasteful number, since it uses less digits than its factorization.

211002202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51362 (or 51346 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 211002202000 its reverse (202200112), we get a palindrome (211204402112).

The spelling of 211002202000 in words is "two hundred eleven billion, two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 71 80 100 116 125 142 145 200 232 250 284 290 355 400 464 500 568 580 710 725 1000 1136 1160 1420 1450 1775 2000 2059 2320 2840 2900 3550 3625 4118 5680 5800 7100 7250 8236 8875 10295 11600 14200 14500 16472 17750 20590 28400 29000 32944 35500 41180 51239 51475 58000 71000 82360 102478 102950 142000 164720 204956 205900 256195 257375 409912 411800 512390 514750 819824 823600 1024780 1029500 1280975 1485931 2049560 2059000 2561950 2971862 3637969 4099120 4118000 5123900 5943724 6404875 7275938 7429655 10247800 11887448 12809750 14551876 14859310 18189845 20495600 23774896 25619500 29103752 29718620 36379690 37148275 51239000 58207504 59437240 72759380 74296550 90949225 102478000 105501101 118874480 145518760 148593100 181898450 185741375 211002202 291037520 297186200 363796900 371482750 422004404 454746125 527505505 594372400 727593800 742965500 844008808 909492250 1055011010 1455187600 1485931000 1688017616 1818984500 2110022020 2637527525 2971862000 3637969000 4220044040 5275055050 7275938000 8440088080 10550110100 13187637625 21100220200 26375275250 42200440400 52750550500 105501101000 211002202000