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132101003124 = 22321011312691031
BaseRepresentation
bin111101100000111010…
…1010101011101110100
3110121222100100021002100
41323001311111131310
54131020324044444
6140404130542100
712354404666616
oct1730165253564
9417870307070
10132101003124
1151029632952
1221728437930
13c5c325414c
146572536db6
153682527e69
hex1ec1d55774

132101003124 has 144 divisors (see below), whose sum is σ = 341396415360. Its totient is φ = 43062240000.

The previous prime is 132101003123. The next prime is 132101003137. The reversal of 132101003124 is 421300101231.

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 = 132101003097 and 132101003106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132101003123) 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, 128128489 + ... + 128129519.

It is an arithmetic number, because the mean of its divisors is an integer number (2370808440).

Almost surely, 2132101003124 is an apocalyptic number.

It is an amenable number.

132101003124 is an abundant number, since it is smaller than the sum of its proper divisors (209295412236).

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

132101003124 is a wasteful number, since it uses less digits than its factorization.

132101003124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132101003124 its reverse (421300101231), we get a palindrome (553401104355).

The spelling of 132101003124 in words is "one hundred thirty-two billion, one hundred one million, three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 131 202 262 269 303 393 404 524 538 606 786 807 909 1031 1076 1179 1212 1572 1614 1818 2062 2358 2421 3093 3228 3636 4124 4716 4842 6186 9279 9684 12372 13231 18558 26462 27169 35239 37116 39693 52924 54338 70478 79386 81507 104131 105717 108676 119079 135061 140956 158772 163014 208262 211434 238158 244521 270122 277339 312393 317151 326028 405183 416524 422868 476316 489042 540244 554678 624786 634302 810366 832017 937179 978084 1109356 1215549 1249572 1268604 1620732 1664034 1874358 2431098 2496051 3328068 3559139 3748716 4862196 4992102 7118278 9984204 10677417 13641161 14236556 21354834 27282322 28011239 32032251 36331409 40923483 42709668 54564644 56022478 64064502 72662818 81846966 84033717 108994227 112044956 122770449 128129004 145325636 163693932 168067434 217988454 245540898 252101151 326982681 336134868 435976908 491081796 504202302 653965362 1008404604 1307930724 3669472309 7338944618 11008416927 14677889236 22016833854 33025250781 44033667708 66050501562 132101003124