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1132212202320 = 243529162674167
BaseRepresentation
bin10000011110011101000…
…110110010101101010000
311000020102211000012012010
4100132131012302231100
5122022232310433240
62224044152502520
7144541162633563
oct20363506625520
94006384005163
101132212202320
113a71942a9401
1216351b6aaa40
13829c8584b14
143cb296484da
151e6b8907280
hex1079d1b2b50

1132212202320 has 80 divisors (see below), whose sum is σ = 3630887429760. Its totient is φ = 291512105472.

The previous prime is 1132212202279. The next prime is 1132212202321. The reversal of 1132212202320 is 232022122311.

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

It is a super-2 number, since 2×11322122023202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132212202321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81330124 + ... + 81344043.

It is an arithmetic number, because the mean of its divisors is an integer number (45386092872).

Almost surely, 21132212202320 is an apocalyptic number.

1132212202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132212202320 is an abundant number, since it is smaller than the sum of its proper divisors (2498675227440).

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

1132212202320 is a wasteful number, since it uses less digits than its factorization.

1132212202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162674212 (or 162674206 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1132212202320 its reverse (232022122311), we get a palindrome (1364234324631).

The spelling of 1132212202320 in words is "one trillion, one hundred thirty-two billion, two hundred twelve million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 162674167 325348334 488022501 650696668 813370835 976045002 1301393336 1626741670 1952090004 2440112505 2602786672 3253483340 3904180008 4717550843 4880225010 6506966680 7808360016 9435101686 9760450020 13013933360 14152652529 18870203372 19520900040 23587754215 28305305058 37740406744 39041800080 47175508430 56610610116 70763262645 75480813488 94351016860 113221220232 141526525290 188702033720 226442440464 283053050580 377404067440 566106101160 1132212202320