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121030002096 = 24317318953759
BaseRepresentation
bin111000010110111110…
…0110100010110110000
3102120101210022010202020
41300231330310112300
53440332140031341
6131333404551440
711513144020653
oct1605574642660
9376353263666
10121030002096
114736830aa23
121b558852580
13b54a6ca473
145c0206389a
153235611566
hex1c2df345b0

121030002096 has 160 divisors (see below), whose sum is σ = 345577881600. Its totient is φ = 36331806720.

The previous prime is 121030002089. The next prime is 121030002101. The reversal of 121030002096 is 690200030121.

It is a super-2 number, since 2×1210300020962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2224465 + ... + 2278223.

It is an arithmetic number, because the mean of its divisors is an integer number (2159861760).

Almost surely, 2121030002096 is an apocalyptic number.

121030002096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121030002096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172788940800).

121030002096 is an abundant number, since it is smaller than the sum of its proper divisors (224547879504).

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

121030002096 is a wasteful number, since it uses less digits than its factorization.

121030002096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53907 (or 53901 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 121030002096 in words is "one hundred twenty-one billion, thirty million, two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 89 93 102 124 136 178 186 204 248 267 272 356 372 408 496 527 534 712 744 816 1054 1068 1424 1488 1513 1581 2108 2136 2759 3026 3162 4216 4272 4539 5518 6052 6324 8277 8432 9078 11036 12104 12648 16554 18156 22072 24208 25296 33108 36312 44144 46903 53759 66216 72624 93806 107518 132432 140709 161277 187612 215036 281418 322554 375224 430072 562836 645108 750448 860144 913903 1125672 1290216 1666529 1827806 2251344 2580432 2741709 3333058 3655612 4784551 4999587 5483418 6666116 7311224 9569102 9999174 10966836 13332232 14353653 14622448 19138204 19998348 21933672 26664464 28330993 28707306 38276408 39996696 43867344 56661986 57414612 76552816 79993392 81337367 84992979 113323972 114829224 148321081 162674734 169985958 226647944 229658448 244012101 296642162 325349468 339971916 444963243 453295888 488024202 593284324 650698936 679943832 889926486 976048404 1186568648 1301397872 1359887664 1779852972 1952096808 2373137296 2521458377 3559705944 3904193616 5042916754 7119411888 7564375131 10085833508 15128750262 20171667016 30257500524 40343334032 60515001048 121030002096