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10102203120 = 2435311357823
BaseRepresentation
bin10010110100010001…
…10110001011110000
3222002001002002110010
421122020312023300
5131142130444440
64350233134520
7505225211142
oct113210661360
928061062403
1010102203120
1143144807a9
121b5b25a440
13c4cc229a9
146bb968c92
153e1d4a580
hex25a2362f0

10102203120 has 80 divisors (see below), whose sum is σ = 32327073792. Its totient is φ = 2607018240.

The previous prime is 10102203109. The next prime is 10102203149. The reversal of 10102203120 is 2130220101.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 10102203096 and 10102203105.

It is a congruent number.

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, 671472 + ... + 686351.

Almost surely, 210102203120 is an apocalyptic number.

10102203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102203120 is an abundant number, since it is smaller than the sum of its proper divisors (22224870672).

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

10102203120 is a wasteful number, since it uses less digits than its factorization.

10102203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357870 (or 1357864 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10102203120 its reverse (2130220101), we get a palindrome (12232423221).

The spelling of 10102203120 in words is "ten billion, one hundred two million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 1357823 2715646 4073469 5431292 6789115 8146938 10862584 13578230 16293876 20367345 21725168 27156460 32587752 40734690 42092513 54312920 65175504 81469380 84185026 108625840 126277539 162938760 168370052 210462565 252555078 325877520 336740104 420925130 505110156 631387695 673480208 841850260 1010220312 1262775390 1683700520 2020440624 2525550780 3367401040 5051101560 10102203120