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30321100000212 = 22372971086148947
BaseRepresentation
bin1101110010011101011100…
…11001010000101111010100
310222100200001120222212002120
412321032232121100233110
512433240103100001322
6144253153202335540
76246425060352300
oct671165631205724
9128320046885076
1030321100000212
11973011953185a
12349852305a5b0
1313bc3627c6588
1476b798912d00
15378ac4a89a5c
hex1b93ae650bd4

30321100000212 has 144 divisors (see below), whose sum is σ = 83157938111808. Its totient is φ = 8572895815680.

The previous prime is 30321100000159. The next prime is 30321100000229. The reversal of 30321100000212 is 21200000112303.

It is a super-2 number, since 2×303211000002122 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30321100000191 and 30321100000200.

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, 619443523 + ... + 619492469.

It is an arithmetic number, because the mean of its divisors is an integer number (577485681332).

Almost surely, 230321100000212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30321100000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41578969055904).

30321100000212 is an abundant number, since it is smaller than the sum of its proper divisors (52836838111596).

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

30321100000212 is a wasteful number, since it uses less digits than its factorization.

30321100000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59926 (or 59917 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30321100000212 its reverse (21200000112303), we get a palindrome (51521100112515).

The spelling of 30321100000212 in words is "thirty trillion, three hundred twenty-one billion, one hundred million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 97 98 147 194 196 291 294 388 582 588 679 1164 1358 2037 2716 4074 4753 8148 9506 10861 14259 19012 21722 28518 32583 43444 48947 57036 65166 76027 97894 130332 146841 152054 195788 228081 293682 304108 342629 456162 532189 587364 685258 912324 1027887 1053517 1064378 1370516 1596567 2055774 2107034 2128756 2398403 3160551 3193134 4111548 4214068 4747859 4796806 6321102 6386268 7195209 7374619 9495718 9593612 12642204 14243577 14390418 14749238 18991436 22123857 28487154 28780836 29498476 33235013 44247714 51622333 56974308 66470026 88495428 99705039 103244666 132940052 154866999 199410078 206489332 232645091 309733998 398820156 465290182 531613367 619467996 697935273 930580364 1063226734 1395870546 1594840101 2126453468 2791741092 3189680202 3721293569 6379360404 7442587138 11163880707 14885174276 22327761414 26049054983 44655522828 51566496599 52098109966 78147164949 103132993198 104196219932 154699489797 156294329898 206265986396 309398979594 312588659796 360965476193 618797959188 721930952386 1082896428579 1443861904772 2165792857158 2526758333351 4331585714316 5053516666702 7580275000053 10107033333404 15160550000106 30321100000212