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102120220020 = 223571318703337
BaseRepresentation
bin101111100011011010…
…1101110010101110100
3100202120221012200100010
41133012311232111310
53133120234020040
6114525142420220
710243430355660
oct1370665562564
9322527180303
10102120220020
113a344224855
121795ba31670
139825b59bc0
144d2a8918a0
1529ca447e80
hex17c6d6e574

102120220020 has 96 divisors (see below), whose sum is σ = 351922007808. Its totient is φ = 21546243072.

The previous prime is 102120220019. The next prime is 102120220021. The reversal of 102120220020 is 20022021201.

It is an interprime number because it is at equal distance from previous prime (102120220019) and next prime (102120220021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102120219978 and 102120220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120220021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9346209 + ... + 9357128.

It is an arithmetic number, because the mean of its divisors is an integer number (3665854248).

Almost surely, 2102120220020 is an apocalyptic number.

102120220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120220020 is an abundant number, since it is smaller than the sum of its proper divisors (249801787788).

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

102120220020 is a wasteful number, since it uses less digits than its factorization.

102120220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18703369 (or 18703367 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102120220020 its reverse (20022021201), we get a palindrome (122142241221).

The spelling of 102120220020 in words is "one hundred two billion, one hundred twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 18703337 37406674 56110011 74813348 93516685 112220022 130923359 187033370 224440044 243143381 261846718 280550055 374066740 392770077 486286762 523693436 561100110 654616795 729430143 785540154 972573524 1122200220 1215716905 1309233590 1458860286 1571080308 1702003667 1963850385 2431433810 2618467180 2917720572 3404007334 3647150715 3927700770 4862867620 5106011001 6808014668 7294301430 7855401540 8510018335 10212022002 14588602860 17020036670 20424044004 25530055005 34040073340 51060110010 102120220020