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1020201012012 = 2237131723232699
BaseRepresentation
bin11101101100010001011…
…10000000101100101100
310121112022120012011101010
432312020232000230230
5113203332424341022
62100401320145220
7133464350343540
oct16661056005454
93545276164333
101020201012012
11363734969246
1214587b308210
13752874c32a0
14375412d5a20
151b80ee8b50c
hexed88b80b2c

1020201012012 has 144 divisors (see below), whose sum is σ = 3112288390400. Its totient is φ = 253236630528.

The previous prime is 1020201012011. The next prime is 1020201012023. The reversal of 1020201012012 is 2102101020201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1020201012011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1300762 + ... + 1931937.

Almost surely, 21020201012012 is an apocalyptic number.

1020201012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020201012012 is an abundant number, since it is smaller than the sum of its proper divisors (2092087378388).

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

1020201012012 is a wasteful number, since it uses less digits than its factorization.

1020201012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232760 (or 3232741 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020201012012 its reverse (2102101020201), we get a palindrome (3122302032213).

The spelling of 1020201012012 in words is "one trillion, twenty billion, two hundred one million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 289 357 364 442 476 546 578 663 714 867 884 1092 1156 1326 1428 1547 1734 2023 2652 3094 3468 3757 4046 4641 6069 6188 7514 8092 9282 11271 12138 15028 18564 22542 24276 26299 45084 52598 78897 105196 157794 315588 3232699 6465398 9698097 12930796 19396194 22628893 38792388 42025087 45257786 54955883 67886679 84050174 90515572 109911766 126075261 135773358 164867649 168100348 219823532 252150522 271546716 294175609 329735298 384691181 504301044 588351218 659470596 714426479 769382362 882526827 934250011 1154073543 1176702436 1428852958 1538764724 1765053654 1868500022 2143279437 2308147086 2802750033 2857705916 3530107308 3737000044 4286558874 4616294172 5000985353 5605500066 6539750077 8573117748 10001970706 11211000132 12145250143 13079500154 15002956059 19619250231 20003941412 24290500286 26159000308 30005912118 36435750429 39238500462 48581000572 60011824236 72871500858 78477000924 85016751001 145743001716 170033502002 255050253003 340067004004 510100506006 1020201012012