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212020311000120 = 23357773326526691
BaseRepresentation
bin110000001101010011010011…
…010100101000010000111000
31000210200221111000102212120120
4300031103103110220100320
5210242220044104000440
62030532441454453240
762441650646100030
oct6015232324502070
91023627430385516
10212020311000120
1161613344224167
121b942b59204220
13913c57790601c
143a4dba2d228c0
15197a2051addd0
hexc0d4d3528438

212020311000120 has 128 divisors (see below), whose sum is σ = 727867179671040. Its totient is φ = 48399092098560.

The previous prime is 212020311000103. The next prime is 212020311000137. The reversal of 212020311000120 is 21000113020212.

It is an interprime number because it is at equal distance from previous prime (212020311000103) and next prime (212020311000137).

It is a super-2 number, since 2×2120203110001202 (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 a self number, because there is not a number n which added to its sum of digits gives 212020311000120.

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 31 ways as a sum of consecutive naturals, for example, 162614026 + ... + 163912665.

It is an arithmetic number, because the mean of its divisors is an integer number (5686462341180).

Almost surely, 2212020311000120 is an apocalyptic number.

212020311000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212020311000120 is an abundant number, since it is smaller than the sum of its proper divisors (515846868670920).

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

212020311000120 is a wasteful number, since it uses less digits than its factorization.

212020311000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326527485 (or 326527481 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212020311000120 its reverse (21000113020212), we get a palindrome (233020424020332).

The spelling of 212020311000120 in words is "two hundred twelve trillion, twenty billion, three hundred eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 773 840 1546 2319 3092 3865 4638 5411 6184 7730 9276 10822 11595 15460 16233 18552 21644 23190 27055 30920 32466 43288 46380 54110 64932 81165 92760 108220 129864 162330 216440 324660 649320 326526691 653053382 979580073 1306106764 1632633455 1959160146 2285686837 2612213528 3265266910 3918320292 4571373674 4897900365 6530533820 6857060511 7836640584 9142747348 9795800730 11428434185 13061067640 13714121022 18285494696 19591601460 22856868370 27428242044 34285302555 39183202920 45713736740 54856484088 68570605110 91427473480 137141210220 252405132143 274282420440 504810264286 757215396429 1009620528572 1262025660715 1514430792858 1766835925001 2019241057144 2524051321430 3028861585716 3533671850002 3786076982145 5048102642860 5300507775003 6057723171432 7067343700004 7572153964290 8834179625005 10096205285720 10601015550006 14134687400008 15144307928580 17668359250010 21202031100012 26502538875015 30288615857160 35336718500020 42404062200024 53005077750030 70673437000040 106010155500060 212020311000120