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211220011021033 = 721712715724475197
BaseRepresentation
bin110000000001101001111101…
…101110011111001011101001
31000200212102202201211121122101
4300001221331232133023221
5210141112040310133113
62025121044500453401
762330066530363300
oct6001517556371351
91020772681747571
10211220011021033
11613349a37aa773
121b833a2a3aa261
1390b1c66768241
143a23162bd1437
1519644b58b42dd
hexc01a7db9f2e9

211220011021033 has 96 divisors (see below), whose sum is σ = 264035368452096. Its totient is φ = 167876540762112.

The previous prime is 211220011021027. The next prime is 211220011021181. The reversal of 211220011021033 is 330120110022112.

It is a de Polignac number, because none of the positive numbers 2k-211220011021033 is a prime.

It is a super-2 number, since 2×2112200110210332 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211220011021033.

It is not an unprimeable number, because it can be changed into a prime (211220011027033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40642677991 + ... + 40642683187.

It is an arithmetic number, because the mean of its divisors is an integer number (2750368421376).

Almost surely, 2211220011021033 is an apocalyptic number.

It is an amenable number.

211220011021033 is a deficient number, since it is larger than the sum of its proper divisors (52815357431063).

211220011021033 is a wasteful number, since it uses less digits than its factorization.

211220011021033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7959 (or 7952 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 211220011021033 its reverse (330120110022112), we get a palindrome (541340121043145).

The spelling of 211220011021033 in words is "two hundred eleven trillion, two hundred twenty billion, eleven million, twenty-one thousand, thirty-three".

Divisors: 1 7 17 49 119 127 157 833 889 1099 2159 2447 2669 5197 6223 7693 15113 17129 18683 19939 36379 41599 88349 105791 119903 130781 139573 254653 291193 310769 338963 384179 618443 660019 815929 977011 2038351 2175383 2372741 2689253 4329101 4620133 5283073 5711503 6531043 11220323 12717059 13870793 15227681 16609187 18824771 32340931 36981511 39980521 45717301 48790733 78542261 89019413 97095551 103622983 216190003 258870577 320021107 341535131 549795827 623135891 679668857 725360881 829442461 1513330021 1615066493 1761590711 1996578263 2390745917 5077526167 5806097227 10593310147 11305465451 12331134977 13976047841 27456130381 33941830471 40642680589 79138258157 86317944839 97832334887 192192912667 237592813297 253565439401 1345350388669 1663149693079 1774958075807 4310612469817 12424706530649 30174287288719 211220011021033