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1100310212320 = 25511829754133
BaseRepresentation
bin10000000000101111100…
…110010110111011100000
310220012002111210012000221
4100000233212112323200
5121011413403243240
62201250414252424
7142331466326434
oct20005746267340
93805074705027
101100310212320
11394703480110
121592b77b7114
137c9b3140467
143b3807789c4
151d94cd2aa4a
hex1002f996ee0

1100310212320 has 96 divisors (see below), whose sum is σ = 2839224013920. Its totient is φ = 399629629440.

The previous prime is 1100310212317. The next prime is 1100310212321. The reversal of 1100310212320 is 232120130011.

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 = 1100310212294 and 1100310212303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100310212321) 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, 1081974 + ... + 1836106.

It is an arithmetic number, because the mean of its divisors is an integer number (29575250145).

Almost surely, 21100310212320 is an apocalyptic number.

1100310212320 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 1100310212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419612006960).

1100310212320 is an abundant number, since it is smaller than the sum of its proper divisors (1738913801600).

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

1100310212320 is a wasteful number, since it uses less digits than its factorization.

1100310212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754988 (or 754980 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1100310212320 its reverse (232120130011), we get a palindrome (1332430342331).

The spelling of 1100310212320 in words is "one trillion, one hundred billion, three hundred ten million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 829 880 1658 1760 3316 4145 6632 8290 9119 13264 16580 18238 26528 33160 36476 45595 66320 72952 91190 132640 145904 182380 291808 364760 729520 754133 1459040 1508266 3016532 3770665 6033064 7541330 8295463 12066128 15082660 16590926 24132256 30165320 33181852 41477315 60330640 66363704 82954630 120661280 132727408 165909260 265454816 331818520 625176257 663637040 1250352514 1327274080 2500705028 3125881285 5001410056 6251762570 6876938827 10002820112 12503525140 13753877654 20005640224 25007050280 27507755308 34384694135 50014100560 55015510616 68769388270 100028201120 110031021232 137538776540 220062042464 275077553080 550155106160 1100310212320