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101203320042 = 232113727749871
BaseRepresentation
bin101111001000000110…
…0000001110011101010
3100200020000220100000200
41132100030001303222
53124231022220132
6114254150213030
710211625012126
oct1362014016352
9320200810020
10101203320042
1139a136aa280
1217744954176
13970abc7136
144c80bb6586
152974bcdd7c
hex1790301cea

101203320042 has 96 divisors (see below), whose sum is σ = 246564774144. Its totient is φ = 29730499200.

The previous prime is 101203320017. The next prime is 101203320059. The reversal of 101203320042 is 240023302101.

101203320042 is a `hidden beast` number, since 101 + 203 + 320 + 0 + 42 = 666.

It is a super-2 number, since 2×1012033200422 (a number of 23 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 = 101203319997 and 101203320024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2004367 + ... + 2054237.

It is an arithmetic number, because the mean of its divisors is an integer number (2568383064).

Almost surely, 2101203320042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101203320042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123282387072).

101203320042 is an abundant number, since it is smaller than the sum of its proper divisors (145361454102).

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

101203320042 is a wasteful number, since it uses less digits than its factorization.

101203320042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50204 (or 50201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101203320042 its reverse (240023302101), we get a palindrome (341226622143).

The spelling of 101203320042 in words is "one hundred one billion, two hundred three million, three hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 277 333 407 554 666 814 831 1221 1662 2442 2493 3047 3663 4986 6094 7326 9141 10249 18282 20498 27423 30747 49871 54846 61494 92241 99742 112739 149613 184482 225478 299226 338217 448839 548581 676434 897678 1014651 1097162 1645743 1845227 2029302 3291486 3690454 4937229 5535681 9874458 11071362 13814267 16607043 20297497 27628534 33214086 40594994 41442801 60892491 82885602 121784982 124328403 151956937 182677473 248656806 303913874 365354946 455870811 511127879 911741622 1022255758 1367612433 1533383637 2735224866 3066767274 4600150911 5622406669 9200301822 11244813338 16867220007 33734440014 50601660021 101203320042