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102041120304 = 24332383123733
BaseRepresentation
bin101111100001000011…
…1111110111000110000
3100202101102100222221000
41133002013332320300
53132440011322204
6114513235202000
710241450132364
oct1370207767060
9322342328830
10102041120304
113a303608a92
1217939446300
139812653536
144d201812a4
1529c3521039
hex17c21fee30

102041120304 has 160 divisors (see below), whose sum is σ = 309315202560. Its totient is φ = 32142604032.

The previous prime is 102041120299. The next prime is 102041120369. The reversal of 102041120304 is 403021140201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762822 + ... + 886554.

It is an arithmetic number, because the mean of its divisors is an integer number (1933220016).

Almost surely, 2102041120304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102041120304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154657601280).

102041120304 is an abundant number, since it is smaller than the sum of its proper divisors (207274082256).

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

102041120304 is a wasteful number, since it uses less digits than its factorization.

102041120304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123856 (or 123844 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102041120304 its reverse (403021140201), we get a palindrome (505062260505).

The spelling of 102041120304 in words is "one hundred two billion, forty-one million, one hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 83 92 108 138 144 166 184 207 216 249 276 332 368 414 432 498 552 621 664 747 828 996 1104 1242 1328 1494 1656 1909 1992 2241 2484 2988 3312 3818 3984 4482 4968 5727 5976 7636 8964 9936 11454 11952 15272 17181 17928 22908 30544 34362 35856 45816 51543 68724 91632 103086 123733 137448 206172 247466 274896 371199 412344 494932 742398 824688 989864 1113597 1484796 1979728 2227194 2845859 2969592 3340791 4454388 5691718 5939184 6681582 8537577 8908776 10269839 11383436 13363164 17075154 17817552 20539678 22766872 25612731 26726328 30809517 34150308 41079356 45533744 51225462 53452656 61619034 68300616 76838193 82158712 92428551 102450924 123238068 136601232 153676386 164317424 184857102 204901848 236206297 246476136 277285653 307352772 369714204 409803696 472412594 492952272 554571306 614705544 708618891 739428408 944825188 1109142612 1229411088 1417237782 1478856816 1889650376 2125856673 2218285224 2834475564 3779300752 4251713346 4436570448 5668951128 6377570019 8503426692 11337902256 12755140038 17006853384 25510280076 34013706768 51020560152 102041120304