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20212303120 = 2453596011171
BaseRepresentation
bin10010110100101111…
…110100010100010000
31221011122000101101021
4102310233310110100
5312343322144440
613141351445224
71313610512302
oct226457642420
957148011337
1020212303120
118632355549
123b01086814
131ba167bb99
14d9a58b972
157d470584a
hex4b4bf4510

20212303120 has 80 divisors (see below), whose sum is σ = 47243226240. Its totient is φ = 8042112000.

The previous prime is 20212303117. The next prime is 20212303127. The reversal of 20212303120 is 2130321202.

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

It is a super-3 number, since 3×202123031203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20212303094 and 20212303103.

It is not an unprimeable number, because it can be changed into a prime (20212303127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17260135 + ... + 17261305.

It is an arithmetic number, because the mean of its divisors is an integer number (590540328).

Almost surely, 220212303120 is an apocalyptic number.

20212303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212303120 is an abundant number, since it is smaller than the sum of its proper divisors (27030923120).

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

20212303120 is a wasteful number, since it uses less digits than its factorization.

20212303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20212303120 its reverse (2130321202), we get a palindrome (22342624322).

The spelling of 20212303120 in words is "twenty billion, two hundred twelve million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 359 601 718 1171 1202 1436 1795 2342 2404 2872 3005 3590 4684 4808 5744 5855 6010 7180 9368 9616 11710 12020 14360 18736 23420 24040 28720 46840 48080 93680 215759 420389 431518 703771 840778 863036 1078795 1407542 1681556 1726072 2101945 2157590 2815084 3363112 3452144 3518855 4203890 4315180 5630168 6726224 7037710 8407780 8630360 11260336 14075420 16815560 17260720 28150840 33631120 56301680 252653789 505307578 1010615156 1263268945 2021230312 2526537890 4042460624 5053075780 10106151560 20212303120