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101210121212220 = 22335887211303439
BaseRepresentation
bin10111000000110011010001…
…010100101001000100111100
3111021100121000100212111022000
4113000303101110221010330
5101231211312012242340
6555131142100022300
730214122103550526
oct2700632124510474
9437317010774260
10101210121212220
112a280a75977869
12b427248991990
1344620c557aa07
141adc84b612a16
15ba7a92d0cd30
hex5c0cd152913c

101210121212220 has 96 divisors (see below), whose sum is σ = 315230923929600. Its totient is φ = 26958937833792.

The previous prime is 101210121212183. The next prime is 101210121212243. The reversal of 101210121212220 is 22212121012101.

101210121212220 is a `hidden beast` number, since 1 + 0 + 1 + 210 + 1 + 21 + 212 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101210121212193 and 101210121212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105172740 + ... + 106130699.

It is an arithmetic number, because the mean of its divisors is an integer number (3283655457600).

Almost surely, 2101210121212220 is an apocalyptic number.

101210121212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210121212220 is an abundant number, since it is smaller than the sum of its proper divisors (214020802717380).

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

101210121212220 is a wasteful number, since it uses less digits than its factorization.

101210121212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211304344 (or 211304336 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101210121212220 its reverse (22212121012101), we get a palindrome (123422242224321).

The spelling of 101210121212220 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 887 1774 2661 3548 4435 5322 7983 8870 10644 13305 15966 17740 23949 26610 31932 39915 47898 53220 79830 95796 119745 159660 239490 478980 211303439 422606878 633910317 845213756 1056517195 1267820634 1901730951 2113034390 2535641268 3169551585 3803461902 4226068780 5705192853 6339103170 7606923804 9508654755 11410385706 12678206340 19017309510 22820771412 28525964265 38034619020 57051928530 114103857060 187426150393 374852300786 562278451179 749704601572 937130751965 1124556902358 1686835353537 1874261503930 2249113804716 2811392255895 3373670707074 3748523007860 5060506060611 5622784511790 6747341414148 8434176767685 10121012121222 11245569023580 16868353535370 20242024242444 25302530303055 33736707070740 50605060606110 101210121212220