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101212202201220 = 2232511387831318033
BaseRepresentation
bin10111000000110101001101…
…010110111111000010000100
3111021100210101101121200112200
4113000311031112333002010
5101231230042230414340
6555132124354514500
730214224502635045
oct2700651526770204
9437323341550480
10101212202201220
112a281943600690
12b427729895a30
134462367740656
141adc9a7b508cc
15ba7b6586c330
hex5c0d4d5bf084

101212202201220 has 144 divisors (see below), whose sum is σ = 334929268058112. Its totient is φ = 24535640171520.

The previous prime is 101212202201167. The next prime is 101212202201249. The reversal of 101212202201220 is 22102202212101.

It is a happy number.

101212202201220 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 220 + 220 + 1 + 220 = 666.

It is a super-2 number, since 2×1012122022012202 (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 junction number, because it is equal to n+sod(n) for n = 101212202201193 and 101212202201202.

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, 76131324 + ... + 77449356.

It is an arithmetic number, because the mean of its divisors is an integer number (2325897694848).

Almost surely, 2101212202201220 is an apocalyptic number.

101212202201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212202201220 is an abundant number, since it is smaller than the sum of its proper divisors (233717065856892).

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

101212202201220 is a wasteful number, since it uses less digits than its factorization.

101212202201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356842 (or 1356837 counting only the distinct ones).

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

Adding to 101212202201220 its reverse (22102202212101), we get a palindrome (123314404413321).

The spelling of 101212202201220 in words is "one hundred one trillion, two hundred twelve billion, two hundred two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 38783 77566 116349 155132 193915 232698 349047 387830 426613 465396 581745 698094 775660 853226 1163490 1279839 1318033 1396188 1706452 1745235 2133065 2326980 2559678 2636066 3490470 3839517 3954099 4266130 5119356 5272132 6399195 6590165 6980940 7679034 7908198 8532260 11862297 12798390 13180330 14498363 15358068 15816396 19197585 19770495 23724594 25596780 26360660 28996726 38395170 39540990 43495089 47449188 57993452 59311485 72491815 76790340 79081980 86990178 118622970 130485267 144983630 173980356 217475445 237245940 260970534 289967260 434950890 521941068 652426335 869901780 1304852670 2609705340 51117273839 102234547678 153351821517 204469095356 255586369195 306703643034 460055464551 511172738390 562290012229 613407286068 766759107585 920110929102 1022345476780 1124580024458 1533518215170 1686870036687 1840221858204 2249160048916 2300277322755 2811450061145 3067036430340 3373740073374 4600554645510 5060610110061 5622900122290 6747480146748 8434350183435 9201109291020 10121220220122 11245800244580 16868700366870 20242440440244 25303050550305 33737400733740 50606101100610 101212202201220