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102101333320 = 23572109477913
BaseRepresentation
bin101111100010110110…
…1101011010101001000
3100202112121200010122201
41133011231223111020
53133100420131240
6114523225525544
710243111004500
oct1370555532510
9322477603581
10102101333320
113a3345a4a08
12179556438b4
139821c7643c
144d28176a00
1529c8966d9a
hex17c5b6b548

102101333320 has 96 divisors (see below), whose sum is σ = 269686870200. Its totient is φ = 34684941312.

The previous prime is 102101333293. The next prime is 102101333333. The reversal of 102101333320 is 23333101201.

102101333320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 77563364004 + 24537969316 = 278502^2 + 156646^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25317 + ... + 452596.

Almost surely, 2102101333320 is an apocalyptic number.

102101333320 is a gapful number since it is divisible by the number (10) 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 102101333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134843435100).

102101333320 is an abundant number, since it is smaller than the sum of its proper divisors (167585536880).

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

102101333320 is a wasteful number, since it uses less digits than its factorization.

102101333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478047 (or 478036 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 102101333320 its reverse (23333101201), we get a palindrome (125434434521).

The spelling of 102101333320 in words is "one hundred two billion, one hundred one million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 109 140 196 218 245 280 392 436 490 545 763 872 980 1090 1526 1960 2180 3052 3815 4360 5341 6104 7630 10682 15260 21364 26705 30520 42728 53410 106820 213640 477913 955826 1911652 2389565 3345391 3823304 4779130 6690782 9558260 13381564 16726955 19116520 23417737 26763128 33453910 46835474 52092517 66907820 93670948 104185034 117088685 133815640 187341896 208370068 234177370 260462585 364647619 416740136 468354740 520925170 729295238 936709480 1041850340 1458590476 1823238095 2083700680 2552533333 2917180952 3646476190 5105066666 7292952380 10210133332 12762666665 14585904760 20420266664 25525333330 51050666660 102101333320