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1000322121320 = 235411070956957
BaseRepresentation
bin11101000111001111101…
…10000011111001101000
310112122000011112212212022
432203213312003321220
5112342124430340240
62043312554404012
7132161625511154
oct16434766037150
93478004485768
101000322121320
11356263839465
12141a51a30608
1373439c40482
14365b7138064
151b049b949b5
hexe8e7d83e68

1000322121320 has 64 divisors (see below), whose sum is σ = 2305876280400. Its totient is φ = 390326302720.

The previous prime is 1000322121313. The next prime is 1000322121341. The reversal of 1000322121320 is 231212230001.

It can be written as a sum of positive squares in 8 ways, for example, as 229343294404 + 770978826916 = 478898^2 + 878054^2 .

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, 17534282 + ... + 17591238.

Almost surely, 21000322121320 is an apocalyptic number.

1000322121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000322121320 is an abundant number, since it is smaller than the sum of its proper divisors (1305554159080).

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

1000322121320 is a wasteful number, since it uses less digits than its factorization.

1000322121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67718 (or 67714 counting only the distinct ones).

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

Adding to 1000322121320 its reverse (231212230001), we get a palindrome (1231534351321).

The spelling of 1000322121320 in words is "one trillion, three hundred twenty-two million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 10709 21418 42836 53545 56957 85672 107090 113914 214180 227828 284785 428360 439069 455656 569570 878138 1139140 1756276 2195345 2278280 2335237 3512552 4390690 4670474 8781380 9340948 11676185 17562760 18681896 23352370 46704740 93409480 609952513 1219905026 2439810052 3049762565 4879620104 6099525130 12199050260 24398100520 25008053033 50016106066 100032212132 125040265165 200064424264 250080530330 500161060660 1000322121320