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1211013312320 = 2657952156783
BaseRepresentation
bin10001100111110110000…
…001001010111101000000
311021202211121012100021202
4101213312001022331000
5124320123401443240
62324155402040332
7153331016212220
oct21476601127500
94252747170252
101211013312320
114276514976a9
12176851aa90a8
138a2761c3766
14428830a2080
152177ba09315
hex119f604af40

1211013312320 has 112 divisors (see below), whose sum is σ = 3296090423808. Its totient is φ = 415153643520.

The previous prime is 1211013312293. The next prime is 1211013312359. The reversal of 1211013312320 is 232133101121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1211013312292 and 1211013312301.

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, 21298649 + ... + 21355431.

It is an arithmetic number, because the mean of its divisors is an integer number (29429378784).

Almost surely, 21211013312320 is an apocalyptic number.

1211013312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211013312320 is an abundant number, since it is smaller than the sum of its proper divisors (2085077111488).

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

1211013312320 is an equidigital number, since it uses as much as digits as its factorization.

1211013312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66328 (or 66318 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1211013312320 its reverse (232133101121), we get a palindrome (1443146413441).

The spelling of 1211013312320 in words is "one trillion, two hundred eleven billion, thirteen million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 9521 19042 38084 47605 56783 66647 76168 95210 113566 133294 152336 190420 227132 266588 283915 304672 333235 380840 397481 454264 533176 567830 609344 666470 761680 794962 908528 1066352 1135660 1332940 1523360 1589924 1817056 1987405 2132704 2271320 2665880 3046720 3179848 3634112 3974810 4265408 4542640 5331760 6359696 7949620 9085280 10663520 12719392 15899240 18170560 21327040 25438784 31798480 63596960 127193920 540630943 1081261886 2162523772 2703154715 3784416601 4325047544 5406309430 7568833202 8650095088 10812618860 15137666404 17300190176 18922083005 21625237720 30275332808 34600380352 37844166010 43250475440 60550665616 75688332020 86500950880 121101331232 151376664040 173001901760 242202662464 302753328080 605506656160 1211013312320