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101202221202012 = 223272843337341879
BaseRepresentation
bin10111000000101011111010…
…011100011111101001011100
3111021022211121210121101121100
4113000223322130133221130
5101231044122111431022
6555123354131233100
730213422245561020
oct2700537234375134
9437284553541540
10101202221202012
112a278691594207
12b425803148790
134461436976868
141adc2dc336380
15ba777e4b41ac
hex5c0afa71fa5c

101202221202012 has 144 divisors (see below), whose sum is σ = 292558501347840. Its totient is φ = 28895490336384.

The previous prime is 101202221202007. The next prime is 101202221202031. The reversal of 101202221202012 is 210202122202101.

It is a happy number.

101202221202012 is a `hidden beast` number, since 1 + 0 + 120 + 222 + 120 + 201 + 2 = 666.

It is a super-2 number, since 2×1012022212020122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2416517689 + ... + 2416559567.

It is an arithmetic number, because the mean of its divisors is an integer number (2031656259360).

Almost surely, 2101202221202012 is an apocalyptic number.

101202221202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202221202012 is an abundant number, since it is smaller than the sum of its proper divisors (191356280145828).

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

101202221202012 is a wasteful number, since it uses less digits than its factorization.

101202221202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48112 (or 48107 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101202221202012 its reverse (210202122202101), we get a palindrome (311404343404113).

The spelling of 101202221202012 in words is "one hundred one trillion, two hundred two billion, two hundred twenty-one million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2843 3373 5686 6746 8529 10119 11372 13492 17058 19901 20238 23611 25587 30357 34116 39802 40476 41879 47222 51174 59703 60714 70833 79604 83758 94444 102348 119406 121428 125637 141666 167516 179109 212499 238812 251274 283332 293153 358218 376911 424998 502548 586306 716436 753822 849996 879459 1172612 1507644 1758918 2638377 3517836 5276754 9589439 10553508 19178878 28768317 38357756 57536634 67126073 86304951 115073268 119061997 134252146 141257867 172609902 201378219 238123994 268504292 282515734 345219804 357185991 402756438 423773601 476247988 565031468 604134657 714371982 805512876 833433979 847547202 988805069 1071557973 1208269314 1271320803 1428743964 1666867958 1695094404 1977610138 2143115946 2416538628 2500301937 2542641606 2966415207 3333735916 3955220276 4286231892 5000603874 5085283212 5932830414 7500905811 8899245621 10001207748 11865660828 15001811622 17798491242 30003623244 35596982484 401596115881 803192231762 1204788347643 1606384463524 2409576695286 2811172811167 3614365042929 4819153390572 5622345622334 7228730085858 8433518433501 11244691244668 14457460171716 16867036867002 25300555300503 33734073734004 50601110601006 101202221202012