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212102110000 = 2454112175291
BaseRepresentation
bin1100010110001001000…
…1010101101100110000
3202021110202112120102201
43011202101111230300
511433341120010000
6241234404152544
721216042121354
oct3054221255460
9667422476381
10212102110000
1181a52125600
1235134698754
1317002685a01
14a3a14bd464
1557b5b6496a
hex3162455b30

212102110000 has 150 divisors (see below), whose sum is σ = 564451283396. Its totient is φ = 77127600000.

The previous prime is 212102109979. The next prime is 212102110001. The reversal of 212102110000 is 11201212.

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

It is not an unprimeable number, because it can be changed into a prime (212102110001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1122355 + ... + 1297645.

Almost surely, 2212102110000 is an apocalyptic number.

212102110000 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 212102110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282225641698).

212102110000 is an abundant number, since it is smaller than the sum of its proper divisors (352349173396).

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

212102110000 is a wasteful number, since it uses less digits than its factorization.

212102110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175341 (or 175309 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212102110000 its reverse (11201212), we get a palindrome (212113311212).

The spelling of 212102110000 in words is "two hundred twelve billion, one hundred two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2200 2420 2500 2750 3025 4400 4840 5000 5500 6050 6875 9680 10000 11000 12100 13750 15125 22000 24200 27500 30250 48400 55000 60500 75625 110000 121000 151250 175291 242000 302500 350582 605000 701164 876455 1210000 1402328 1752910 1928201 2804656 3505820 3856402 4382275 7011640 7712804 8764550 9641005 14023280 15425608 17529100 19282010 21210211 21911375 30851216 35058200 38564020 42420422 43822750 48205025 70116400 77128040 84840844 87645500 96410050 106051055 109556875 154256080 169681688 175291000 192820100 212102110 219113750 241025125 339363376 350582000 385640200 424204220 438227500 482050250 530255275 771280400 848408440 876455000 964100500 1060510550 1205125625 1696816880 1752910000 1928201000 2121021100 2410251250 2651276375 3856402000 4242042200 4820502500 5302552750 8484084400 9641005000 10605105500 13256381875 19282010000 21210211000 26512763750 42420422000 53025527500 106051055000 212102110000