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211012102221000 = 23353233058146409
BaseRepresentation
bin101111111110101000010101…
…011001010110110011001000
31000200010120010012202021002020
4233332220111121112303020
5210124210241132033000
62024441342125404440
762306056413630243
oct5776502531266310
91020116105667066
10211012102221000
11612648036a1aa3
121b7bb686109720
139098481a88142
143a1707c5c625a
15195dd97e5bba0
hexbfea15656cc8

211012102221000 has 128 divisors (see below), whose sum is σ = 686982009542400. Its totient is φ = 53823376780800.

The previous prime is 211012102220917. The next prime is 211012102221031. The reversal of 211012102221000 is 122201210112.

It is a super-2 number, since 2×2110121022210002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1529004205 + ... + 1529142204.

It is an arithmetic number, because the mean of its divisors is an integer number (5367046949550).

Almost surely, 2211012102221000 is an apocalyptic number.

211012102221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012102221000 is an abundant number, since it is smaller than the sum of its proper divisors (475969907321400).

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

211012102221000 is a wasteful number, since it uses less digits than its factorization.

211012102221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058146456 (or 3058146442 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211012102221000 its reverse (122201210112), we get a palindrome (211134303431112).

The spelling of 211012102221000 in words is "two hundred eleven trillion, twelve billion, one hundred two million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 3058146409 6116292818 9174439227 12232585636 15290732045 18348878454 24465171272 30581464090 36697756908 45872196135 61162928180 70337367407 73395513816 76453660225 91744392270 122325856360 140674734814 152907320450 183488784540 211012102221 229360980675 281349469628 305814640900 351686837035 366977569080 382268301125 422024204442 458721961350 562698939256 611629281800 703373674070 764536602250 844048408884 917443922700 1055060511105 1146804903375 1406747348140 1529073204500 1688096817768 1758434185175 1834887845400 2110121022210 2293609806750 2813494696280 3058146409000 3516868370350 4220242044420 4587219613500 5275302555525 7033736740700 8440484088840 8792170925875 9174439227000 10550605111050 14067473481400 17584341851750 21101210222100 26376512777625 35168683703500 42202420444200 52753025555250 70337367407000 105506051110500 211012102221000