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101212012020 = 22357292286541
BaseRepresentation
bin101111001000010110…
…1001011110111110100
3100200020122020221011210
41132100231023313310
53124240233341040
6114255100401420
710212061623150
oct1362055136764
9320218227153
10101212012020
1139a185a6729
1217747846270
13970c94b512
144c81dda060
152975849480
hex1790b4bdf4

101212012020 has 144 divisors (see below), whose sum is σ = 335432942208. Its totient is φ = 22336366080.

The previous prime is 101212011997. The next prime is 101212012043. The reversal of 101212012020 is 20210212101.

It is an interprime number because it is at equal distance from previous prime (101212011997) and next prime (101212012043).

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 = 101212011987 and 101212012005.

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, 209950 + ... + 496490.

It is an arithmetic number, because the mean of its divisors is an integer number (2329395432).

Almost surely, 2101212012020 is an apocalyptic number.

101212012020 is a gapful number since it is divisible by the number (10) 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 101212012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167716471104).

101212012020 is an abundant number, since it is smaller than the sum of its proper divisors (234220930188).

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

101212012020 is a wasteful number, since it uses less digits than its factorization.

101212012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286618 (or 286587 counting only the distinct ones).

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

Adding to 101212012020 its reverse (20210212101), we get a palindrome (121422224121).

The spelling of 101212012020 in words is "one hundred one billion, two hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 841 870 1015 1218 1682 1740 2030 2436 2523 3045 3364 4060 4205 5046 5887 6090 8410 10092 11774 12180 12615 16820 17661 23548 25230 29435 35322 50460 58870 70644 88305 117740 176610 286541 353220 573082 859623 1146164 1432705 1719246 2005787 2865410 3438492 4011574 4298115 5730820 6017361 8023148 8309689 8596230 10028935 12034722 16619378 17192460 20057870 24069444 24929067 30086805 33238756 40115740 41548445 49858134 58167823 60173610 83096890 99716268 116335646 120347220 124645335 166193780 174503469 232671292 240980981 249290670 290839115 349006938 481961962 498581340 581678230 698013876 722942943 872517345 963923924 1163356460 1204904905 1445885886 1686866867 1745034690 2409809810 2891771772 3373733734 3490069380 3614714715 4819619620 5060600601 6747467468 7229429430 8434334335 10121201202 14458858860 16868668670 20242402404 25303003005 33737337340 50606006010 101212012020