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10120203120 = 2435145329021
BaseRepresentation
bin10010110110011011…
…00000101101110000
3222010021221120210210
421123031200231300
5131211232444440
64352115024120
7505534210236
oct113315405560
928107846723
1010120203120
114323655435
121b6529b040
13c53885991
146c00d2956
153e3703a80
hex25b360b70

10120203120 has 80 divisors (see below), whose sum is σ = 31395303072. Its totient is φ = 2696770560.

The previous prime is 10120203101. The next prime is 10120203161. The reversal of 10120203120 is 2130202101.

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

It is a super-2 number, since 2×101202031202 (a number of 21 digits) contains 22 as substring.

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 = 10120203096 and 10120203105.

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, 334210 + ... + 363230.

Almost surely, 210120203120 is an apocalyptic number.

10120203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120203120 is an abundant number, since it is smaller than the sum of its proper divisors (21275099952).

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

10120203120 is a wasteful number, since it uses less digits than its factorization.

10120203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30490 (or 30484 counting only the distinct ones).

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

Adding to 10120203120 its reverse (2130202101), we get a palindrome (12250405221).

The spelling of 10120203120 in words is "ten billion, one hundred twenty million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1453 2906 4359 5812 7265 8718 11624 14530 17436 21795 23248 29021 29060 34872 43590 58042 58120 69744 87063 87180 116084 116240 145105 174126 174360 232168 290210 348252 348720 435315 464336 580420 696504 870630 1160840 1393008 1741260 2321680 3482520 6965040 42167513 84335026 126502539 168670052 210837565 253005078 337340104 421675130 506010156 632512695 674680208 843350260 1012020312 1265025390 1686700520 2024040624 2530050780 3373401040 5060101560 10120203120