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101202010000212 = 2231143101176532787
BaseRepresentation
bin10111000000101011101101…
…110110110100101101010100
3111021022211002002012020012110
4113000223231312310231110
5101231043204030001322
6555123321144351020
730213414102440232
oct2700535566645524
9437284062166173
10101202010000212
112a278593350170
12b425764475470
134461401c99994
141adc2bc279952
15ba776ab95c0c
hex5c0aeddb4b54

101202010000212 has 96 divisors (see below), whose sum is σ = 266205795254784. Its totient is φ = 29657508048000.

The previous prime is 101202010000171. The next prime is 101202010000361. The reversal of 101202010000212 is 212000010202101.

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

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, 87693118 + ... + 88839669.

It is an arithmetic number, because the mean of its divisors is an integer number (2772977033904).

Almost surely, 2101202010000212 is an apocalyptic number.

101202010000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202010000212 is an abundant number, since it is smaller than the sum of its proper divisors (165003785254572).

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

101202010000212 is a wasteful number, since it uses less digits than its factorization.

101202010000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176532949 (or 176532947 counting only the distinct ones).

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

Adding to 101202010000212 its reverse (212000010202101), we get a palindrome (313202020202313).

The spelling of 101202010000212 in words is "one hundred one trillion, two hundred two billion, ten million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 101 129 132 172 202 258 303 404 473 516 606 946 1111 1212 1419 1892 2222 2838 3333 4343 4444 5676 6666 8686 13029 13332 17372 26058 47773 52116 95546 143319 191092 286638 573276 176532787 353065574 529598361 706131148 1059196722 1941860657 2118393444 3883721314 5825581971 7590909841 7767442628 11651163942 15181819682 17829811487 22772729523 23302327884 30363639364 35659622974 45545459046 53489434461 71319245948 83500008251 91090918092 106978868922 167000016502 196127926357 213957737844 250500024753 334000033004 392255852714 501000049506 588383779071 766681893941 784511705428 1002000099012 1176767558142 1533363787882 2300045681823 2353535116284 3066727575764 4600091363646 8433500833351 9200182727292 16867001666702 25300502500053 33734003333404 50601005000106 101202010000212