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101930340864 = 2931159102251
BaseRepresentation
bin101111011101110000…
…1011001001000000000
3100202002200220211002210
41132323201121020000
53132223131401424
6114454240542120
710235633413302
oct1367341311000
9322080824083
10101930340864
113a257024830
1217908321940
1397c5707481
144d0d585972
1529b893c729
hex17bb859200

101930340864 has 160 divisors (see below), whose sum is σ = 301258932480. Its totient is φ = 30364160000.

The previous prime is 101930340761. The next prime is 101930340899. The reversal of 101930340864 is 468043039101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945739 + ... + 1047989.

It is an arithmetic number, because the mean of its divisors is an integer number (1882868328).

Almost surely, 2101930340864 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 101930340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150629466240).

101930340864 is an abundant number, since it is smaller than the sum of its proper divisors (199328591616).

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

101930340864 is a wasteful number, since it uses less digits than its factorization.

101930340864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102342 (or 102326 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

Adding to 101930340864 its reverse (468043039101), we get a palindrome (569973379965).

The spelling of 101930340864 in words is "one hundred one billion, nine hundred thirty million, three hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 128 132 176 177 192 236 256 264 352 354 384 472 512 528 649 704 708 768 944 1056 1298 1408 1416 1536 1888 1947 2112 2596 2816 2832 3776 3894 4224 5192 5632 5664 7552 7788 8448 10384 11328 15104 15576 16896 20768 22656 30208 31152 41536 45312 62304 83072 90624 102251 124608 166144 204502 249216 306753 332288 409004 498432 613506 818008 996864 1124761 1227012 1636016 2249522 2454024 3272032 3374283 4499044 4908048 6032809 6544064 6748566 8998088 9816096 12065618 13088128 13497132 17996176 18098427 19632192 24131236 26176256 26994264 35992352 36196854 39264384 48262472 52352512 53988528 66360899 71984704 72393708 78528768 96524944 107977056 132721798 143969408 144787416 157057536 193049888 199082697 215954112 265443596 287938816 289574832 386099776 398165394 431908224 530887192 575877632 579149664 772199552 796330788 863816448 1061774384 1158299328 1544399104 1592661576 1727632896 2123548768 2316598656 3088798208 3185323152 4247097536 4633197312 6370646304 8494195072 9266394624 12741292608 16988390144 25482585216 33976780288 50965170432 101930340864