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211221021013020 = 223352317006523431
BaseRepresentation
bin110000000001101010111001…
…111011010011010000011100
31000200212112101010022112012000
4300001222321323103100130
5210141121122334404040
62025121333020242300
762330133543231324
oct6001527173232034
91020775333275160
10211221021013020
1161335371928697
121b8340706a0390
1390b2097a93435
143a2321adc0284
1519645243bb130
hexc01ab9ed341c

211221021013020 has 96 divisors (see below), whose sum is σ = 685703024778240. Its totient is φ = 53876666226240.

The previous prime is 211221021012943. The next prime is 211221021013033. The reversal of 211221021013020 is 20310120122112.

211221021013020 is a `hidden beast` number, since 2 + 112 + 210 + 210 + 130 + 2 + 0 = 666.

It is a super-2 number, since 2×2112210210130202 (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 = 211221021012984 and 211221021013002.

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, 8503249296 + ... + 8503274135.

It is an arithmetic number, because the mean of its divisors is an integer number (7142739841440).

Almost surely, 2211221021013020 is an apocalyptic number.

211221021013020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221021013020 is an abundant number, since it is smaller than the sum of its proper divisors (474482003765220).

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

211221021013020 is a wasteful number, since it uses less digits than its factorization.

211221021013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17006523472 (or 17006523464 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211221021013020 its reverse (20310120122112), we get a palindrome (231531141135132).

The spelling of 211221021013020 in words is "two hundred eleven trillion, two hundred twenty-one billion, twenty-one million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 17006523431 34013046862 51019570293 68026093724 85032617155 102039140586 153058710879 170065234310 204078281172 255097851465 306117421758 340130468620 391150038913 459176132637 510195702930 612234843516 765293554395 782300077826 918352265274 1020391405860 1173450116739 1530587108790 1564600155652 1836704530548 1955750194565 2295880663185 2346900233478 3061174217580 3520350350217 3911500389130 4591761326370 4693800466956 5867250583695 7040700700434 7823000778260 9183522652740 10561051050651 11734501167390 14081401400868 17601751751085 21122102101302 23469002334780 35203503502170 42244204202604 52805255253255 70407007004340 105610510506510 211221021013020