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20102322120 = 2335277619977
BaseRepresentation
bin10010101110001100…
…010001011111001000
31220212222001202210220
4102232030101133020
5312132143301440
613122422310040
71311103630056
oct225614213710
956788052726
1020102322120
118586267161
123a90288320
131b8495237a
14d89b1d1d6
157c9c2d8d0
hex4ae3117c8

20102322120 has 128 divisors (see below), whose sum is σ = 60684508800. Its totient is φ = 5327179776.

The previous prime is 20102322091. The next prime is 20102322143. The reversal of 20102322120 is 2122320102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20102322120.

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, 20575072 + ... + 20576048.

It is an arithmetic number, because the mean of its divisors is an integer number (474097725).

Almost surely, 220102322120 is an apocalyptic number.

20102322120 is a gapful number since it is divisible by the number (20) 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 20102322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30342254400).

20102322120 is an abundant number, since it is smaller than the sum of its proper divisors (40582186680).

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

20102322120 is a wasteful number, since it uses less digits than its factorization.

20102322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20102322120 its reverse (2122320102), we get a palindrome (22224642222).

The spelling of 20102322120 in words is "twenty billion, one hundred two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 554 619 831 977 1108 1238 1385 1662 1857 1954 2216 2476 2770 2931 3095 3324 3714 3908 4155 4885 4952 5540 5862 6190 6648 7428 7816 8310 9285 9770 11080 11724 12380 14655 14856 16620 18570 19540 23448 24760 29310 33240 37140 39080 58620 74280 117240 171463 270629 342926 514389 541258 604763 685852 811887 857315 1028778 1082516 1209526 1353145 1371704 1623774 1714630 1814289 2057556 2165032 2419052 2571945 2706290 3023815 3247548 3429260 3628578 4059435 4115112 4838104 5143890 5412580 6047630 6495096 6858520 7257156 8118870 9071445 10287780 10825160 12095260 14514312 16237740 18142890 20575560 24190520 32475480 36285780 72571560 167519351 335038702 502558053 670077404 837596755 1005116106 1340154808 1675193510 2010232212 2512790265 3350387020 4020464424 5025580530 6700774040 10051161060 20102322120