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1001010211000 = 23539001111211
BaseRepresentation
bin11101001000100001101…
…10111010100010111000
310112200210010022110110021
432210100312322202320
5112400032103223000
62043505134500224
7132214652255422
oct16442066724270
93480703273407
101001010211000
11356587193418
12142004364674
137351966c627
1436640691812
151b08a2b311a
hexe910dba8b8

1001010211000 has 64 divisors (see below), whose sum is σ = 2342645192160. Its totient is φ = 400356000000.

The previous prime is 1001010210931. The next prime is 1001010211111. The reversal of 1001010211000 is 1120101001.

It is a congruent number.

It is an unprimeable number.

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, 8945395 + ... + 9056605.

Almost surely, 21001010211000 is an apocalyptic number.

1001010211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001010211000 is an abundant number, since it is smaller than the sum of its proper divisors (1341634981160).

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

1001010211000 is a wasteful number, since it uses less digits than its factorization.

1001010211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120233 (or 120219 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001010211000 its reverse (1120101001), we get a palindrome (1002130312001).

The spelling of 1001010211000 in words is "one trillion, one billion, ten million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 9001 18002 36004 45005 72008 90010 111211 180020 222422 225025 360040 444844 450050 556055 889688 900100 1112110 1125125 1800200 2224220 2250250 2780275 4448440 4500500 5560550 9001000 11121100 13901375 22242200 27802750 55605500 111211000 1001010211 2002020422 4004040844 5005051055 8008081688 10010102110 20020204220 25025255275 40040408440 50050510550 100101021100 125126276375 200202042200 250252552750 500505105500 1001010211000