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102220021032120 = 233251090926028463
BaseRepresentation
bin10111001111011111110100…
…000010101110010010111000
3111101221010202000112212122100
4113033133310002232102320
5101344233100341011440
61001223121314023400
730350103261436335
oct2717376402562270
9441833660485570
10102220021032120
112a6302a40029a2
12b56ab12277b60
1345063ca859244
141b3569278198c
15bc3e9d744230
hex5cf7f40ae4b8

102220021032120 has 96 divisors (see below), whose sum is σ = 332245534420800. Its totient is φ = 27256172495616.

The previous prime is 102220021032119. The next prime is 102220021032131. The reversal of 102220021032120 is 21230120022201.

102220021032120 is a `hidden beast` number, since 102 + 2 + 200 + 21 + 0 + 321 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102220021032093 and 102220021032102.

It is a congruent number.

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, 9086992 + ... + 16941471.

It is an arithmetic number, because the mean of its divisors is an integer number (3460890983550).

Almost surely, 2102220021032120 is an apocalyptic number.

102220021032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220021032120 is an abundant number, since it is smaller than the sum of its proper divisors (230025513388680).

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

102220021032120 is a wasteful number, since it uses less digits than its factorization.

102220021032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26039389 (or 26039382 counting only the distinct ones).

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

Adding to 102220021032120 its reverse (21230120022201), we get a palindrome (123450141054321).

The spelling of 102220021032120 in words is "one hundred two trillion, two hundred twenty billion, twenty-one million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 10909 21818 32727 43636 54545 65454 87272 98181 109090 130908 163635 196362 218180 261816 327270 392724 436360 490905 654540 785448 981810 1309080 1963620 3927240 26028463 52056926 78085389 104113852 130142315 156170778 208227704 234256167 260284630 312341556 390426945 468512334 520569260 624683112 780853890 937024668 1041138520 1171280835 1561707780 1874049336 2342561670 3123415560 4685123340 9370246680 283944502867 567889005734 851833508601 1135778011468 1419722514335 1703667017202 2271556022936 2555500525803 2839445028670 3407334034404 4259167543005 5111001051606 5678890057340 6814668068808 8518335086010 10222002103212 11357780114680 12777502629015 17036670172020 20444004206424 25555005258030 34073340344040 51110010516060 102220021032120