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212213031100 = 225271979201973
BaseRepresentation
bin1100010110100011100…
…0011110000010111100
3202021202111020221120121
43011220320132002330
511434103013443400
6241253405424324
721221560000450
oct3055070360274
9667674227517
10212213031100
1181aa97a6234
123516586b0a4
131701c6513b5
14a3b2114660
1557c077521a
hex3168e1e0bc

212213031100 has 144 divisors (see below), whose sum is σ = 561002982400. Its totient is φ = 68056485120.

The previous prime is 212213031073. The next prime is 212213031113. The reversal of 212213031100 is 1130312212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 949714 + ... + 1151686.

Almost surely, 2212213031100 is an apocalyptic number.

212213031100 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 212213031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280501491200).

212213031100 is an abundant number, since it is smaller than the sum of its proper divisors (348789951300).

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

212213031100 is a wasteful number, since it uses less digits than its factorization.

212213031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202092 (or 202085 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212213031100 its reverse (1130312212), we get a palindrome (213343343312).

The spelling of 212213031100 in words is "two hundred twelve billion, two hundred thirteen million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 79 95 100 133 140 158 175 190 266 316 350 380 395 475 532 553 665 700 790 950 1106 1330 1501 1580 1900 1975 2212 2660 2765 3002 3325 3950 5530 6004 6650 7505 7900 10507 11060 13300 13825 15010 21014 27650 30020 37525 42028 52535 55300 75050 105070 150100 201973 210140 262675 403946 525350 807892 1009865 1050700 1413811 2019730 2827622 3837487 4039460 5049325 5655244 7069055 7674974 10098650 14138110 15349948 15955867 19187435 20197300 26862409 28276220 31911734 35345275 38374870 53724818 63823468 70690550 76749740 79779335 95937175 107449636 111691069 134312045 141381100 159558670 191874350 223382138 268624090 303161473 319117340 383748700 398896675 446764276 537248180 558455345 606322946 671560225 797793350 1116910690 1212645892 1343120450 1515807365 1595586700 2122130311 2233821380 2686240900 2792276725 3031614730 4244260622 5584553450 6063229460 7579036825 8488521244 10610651555 11169106900 15158073650 21221303110 30316147300 42442606220 53053257775 106106515550 212213031100