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211210102101020 = 2251110715159419813
BaseRepresentation
bin110000000001100000101111…
…000110111101010000011100
31000200211111012011110022202212
4300001200233012331100130
5210140431242114213040
62025112325330135552
762326266140062541
oct6001405706752034
91020744164408685
10211210102101020
1161330779444480
121b831b23a215b8
1390b10478ba469
143a228a2bbabc8
1519640d59e7d65
hexc0182f1bd41c

211210102101020 has 96 divisors (see below), whose sum is σ = 491619575978496. Its totient is φ = 75582000864000.

The previous prime is 211210102100981. The next prime is 211210102101083. The reversal of 211210102101020 is 20101201012112.

It is a junction number, because it is equal to n+sod(n) for n = 211210102100986 and 211210102101004.

It is a congruent number.

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, 26155367 + ... + 33264446.

It is an arithmetic number, because the mean of its divisors is an integer number (5121037249776).

Almost surely, 2211210102101020 is an apocalyptic number.

211210102101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210102101020 is an abundant number, since it is smaller than the sum of its proper divisors (280409473877476).

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

211210102101020 is a wasteful number, since it uses less digits than its factorization.

211210102101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59420091 (or 59420089 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211210102101020 its reverse (20101201012112), we get a palindrome (231311303113132).

The spelling of 211210102101020 in words is "two hundred eleven trillion, two hundred ten billion, one hundred two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 151 214 220 302 428 535 604 755 1070 1177 1510 1661 2140 2354 3020 3322 4708 5885 6644 8305 11770 16157 16610 23540 32314 33220 64628 80785 161570 177727 323140 355454 710908 888635 1777270 3554540 59419813 118839626 237679252 297099065 594198130 653617943 1188396260 1307235886 2614471772 3268089715 6357919991 6536179430 8972391763 12715839982 13072358860 17944783526 25431679964 31789599955 35889567052 44861958815 63579199910 69937119901 89723917630 98696309393 127158399820 139874239802 179447835260 197392618786 279748479604 349685599505 394785237572 493481546965 699371199010 960045918641 986963093930 1398742398020 1920091837282 1973926187860 3840183674564 4800229593205 9600459186410 10560505105051 19200918372820 21121010210102 42242020420204 52802525525255 105605051050510 211210102101020