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120206221542 = 232114122964661
BaseRepresentation
bin110111111110011011…
…0010110000011100110
3102111021101012202021100
41233330312112003212
53432140243042132
6131115540300530
711453552011251
oct1577466260346
9374241182240
10120206221542
1146a85307450
121b3689a1746
13b448b3c454
145b648a8098
1531d813d37c
hex1bfcd960e6

120206221542 has 96 divisors (see below), whose sum is σ = 292329142560. Its totient is φ = 35381952000.

The previous prime is 120206221481. The next prime is 120206221543. The reversal of 120206221542 is 245122602021.

120206221542 is a `hidden beast` number, since 1 + 2 + 0 + 20 + 622 + 15 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120206221543) 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, 1826692 + ... + 1891352.

It is an arithmetic number, because the mean of its divisors is an integer number (3045095235).

Almost surely, 2120206221542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120206221542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146164571280).

120206221542 is an abundant number, since it is smaller than the sum of its proper divisors (172122921018).

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

120206221542 is a wasteful number, since it uses less digits than its factorization.

120206221542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64950 (or 64947 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 120206221542 its reverse (245122602021), we get a palindrome (365328823563).

The spelling of 120206221542 in words is "one hundred twenty billion, two hundred six million, two hundred twenty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 229 246 369 451 458 687 738 902 1353 1374 2061 2519 2706 4059 4122 5038 7557 8118 9389 15114 18778 22671 28167 45342 56334 64661 84501 103279 129322 169002 193983 206558 309837 387966 581949 619674 711271 929511 1163898 1422542 1859022 2133813 2651101 4267626 5302202 6401439 7953303 12802878 14807369 15906606 23859909 29162111 29614738 44422107 47719818 58324222 87486333 88844214 133266321 162881059 174972666 262458999 266532642 325762118 488643177 524917998 607102129 977286354 1214204258 1465929531 1821306387 2931859062 3642612774 5463919161 6678123419 10927838322 13356246838 20034370257 40068740514 60103110771 120206221542