Search a number
-
+
101231540004042 = 23371770139224603
BaseRepresentation
bin10111000001000111001101…
…111110110110010011001010
3111021102122022002002212001000
4113001013031332312103022
5101232034143220112132
6555145043311035430
730215510634354660
oct2701071576662312
9437378262085030
10101231540004042
112a28a067260108
12b42b425b0bb76
134464129b83626
141add8c00dcc30
15ba83e83d187c
hex5c11cdfb64ca

101231540004042 has 128 divisors (see below), whose sum is σ = 272224360396800. Its totient is φ = 27221417411328.

The previous prime is 101231540003989. The next prime is 101231540004073. The reversal of 101231540004042 is 240400045132101.

101231540004042 is a `hidden beast` number, since 1 + 0 + 12 + 31 + 540 + 0 + 0 + 40 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101231540003997 and 101231540004015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450600913 + ... + 450825515.

It is an arithmetic number, because the mean of its divisors is an integer number (2126752815600).

Almost surely, 2101231540004042 is an apocalyptic number.

101231540004042 is an abundant number, since it is smaller than the sum of its proper divisors (170992820392758).

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

101231540004042 is a wasteful number, since it uses less digits than its factorization.

101231540004042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294777 (or 294771 counting only the distinct ones).

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

Adding to 101231540004042 its reverse (240400045132101), we get a palindrome (341631585136143).

The spelling of 101231540004042 in words is "one hundred one trillion, two hundred thirty-one billion, five hundred forty million, four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 70139 140278 210417 224603 420834 449206 490973 631251 673809 981946 1192363 1262502 1347618 1472919 1572221 1893753 2021427 2384726 2945838 3144442 3577089 3787506 3818251 4042854 4418757 4716663 6064281 7154178 7636502 8346541 8837514 9433326 10731267 11454753 12128562 13256271 14149989 16693082 21462534 22909506 25039623 26512542 26727757 28299978 32193801 34364259 42449967 50079246 53455514 64387602 68728518 75118869 80183271 84899934 103092777 150237738 160366542 206185554 225356607 240549813 450713214 481099626 721649439 1443298878 15753429817 31506859634 47260289451 94520578902 110274008719 141780868353 220548017438 267808306889 283561736706 330822026157 425342605059 535616613778 661644052314 803424920667 850685210118 992466078471 1606849841334 1874658148223 1984932156942 2410274762001 2977398235413 3749316296446 4820549524002 5623974444669 5954796470826 7230824286003 11247948889338 14461648572006 16871923334007 33743846668014 50615770002021 101231540004042