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1221302023100 = 225273390742821
BaseRepresentation
bin10001110001011011010…
…001011111001110111100
311022202101122020000010222
4101301123101133032330
5130002211304214400
62333020340520512
7154144000624445
oct21613321371674
94282348200128
101221302023100
11430a51175365
121788436b0138
138b2259583c3
144317b6da2cc
1521b7ede6185
hex11c5b45f3bc

1221302023100 has 72 divisors (see below), whose sum is σ = 2687280221808. Its totient is φ = 481694169600.

The previous prime is 1221302023099. The next prime is 1221302023159. The reversal of 1221302023100 is 13202031221.

It is a super-2 number, since 2×12213020231002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28499690 + ... + 28542510.

It is an arithmetic number, because the mean of its divisors is an integer number (37323336414).

Almost surely, 21221302023100 is an apocalyptic number.

1221302023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221302023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343640110904).

1221302023100 is an abundant number, since it is smaller than the sum of its proper divisors (1465978198708).

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

1221302023100 is a wasteful number, since it uses less digits than its factorization.

1221302023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46815 (or 46808 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1221302023100 its reverse (13202031221), we get a palindrome (1234504054321).

The spelling of 1221302023100 in words is "one trillion, two hundred twenty-one billion, three hundred two million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 3907 7300 7814 15628 19535 39070 42821 78140 85642 97675 171284 195350 214105 285211 390700 428210 570422 856420 1070525 1140844 1426055 2141050 2852110 3125933 4282100 5704220 6251866 7130275 12503732 14260550 15629665 28521100 31259330 62518660 78148325 156296650 167301647 312593300 334603294 669206588 836508235 1673016470 3346032940 4182541175 8365082350 12213020231 16730164700 24426040462 48852080924 61065101155 122130202310 244260404620 305325505775 610651011550 1221302023100