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1001212221020 = 2251131433414077
BaseRepresentation
bin11101001000111001110…
…01100001011001011100
310112201022012102122002212
432210130321201121130
5112400440312033040
62043541152335552
7132222654314054
oct16443471413134
93481265378085
101001212221020
11356680219550
1214205bb445b8
137354c47b79b
143665d438564
151b09cdb7d65
hexe91ce6165c

1001212221020 has 96 divisors (see below), whose sum is σ = 2422738999296. Its totient is φ = 344138860800.

The previous prime is 1001212221017. The next prime is 1001212221043. The reversal of 1001212221020 is 201222121001.

1001212221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1001212220986 and 1001212221004.

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, 1413779 + ... + 2000298.

It is an arithmetic number, because the mean of its divisors is an integer number (25236864576).

Almost surely, 21001212221020 is an apocalyptic number.

1001212221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001212221020 is an abundant number, since it is smaller than the sum of its proper divisors (1421526778276).

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

1001212221020 is a wasteful number, since it uses less digits than its factorization.

1001212221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414171 (or 3414169 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1001212221020 its reverse (201222121001), we get a palindrome (1202434342021).

The spelling of 1001212221020 in words is "one trillion, one billion, two hundred twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 43 44 55 62 86 110 124 155 172 215 220 310 341 430 473 620 682 860 946 1333 1364 1705 1892 2365 2666 3410 4730 5332 6665 6820 9460 13330 14663 26660 29326 58652 73315 146630 293260 3414077 6828154 13656308 17070385 34140770 37554847 68281540 75109694 105836387 146805311 150219388 187774235 211672774 293610622 375548470 423345548 529181935 587221244 734026555 751096940 1058363870 1164200257 1468053110 1614858421 2116727740 2328400514 2936106220 3229716842 4550964641 4656801028 5821001285 6459433684 8074292105 9101929282 11642002570 16148584210 18203858564 22754823205 23284005140 32297168420 45509646410 50060611051 91019292820 100121222102 200242444204 250303055255 500606110510 1001212221020