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101223212220 = 223351314419261
BaseRepresentation
bin101111001000101011…
…1111010010010111100
3100200021102022221222000
41132101113322102330
53124301120242340
6114300140422300
710212256051614
oct1362127722274
9320242287860
10101223212220
1139a23956599
121774b547990
139712070460
144c836b3a44
15297680cd30
hex17915fa4bc

101223212220 has 96 divisors (see below), whose sum is σ = 339141042240. Its totient is φ = 24916481280.

The previous prime is 101223212201. The next prime is 101223212227. The reversal of 101223212220 is 22212322101.

101223212220 is a `hidden beast` number, since 1 + 0 + 122 + 321 + 2 + 220 = 666.

It is a super-2 number, since 2×1012232122202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101223212193 and 101223212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223212227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7202611 + ... + 7216650.

It is an arithmetic number, because the mean of its divisors is an integer number (3532719190).

Almost surely, 2101223212220 is an apocalyptic number.

101223212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101223212220 is an abundant number, since it is smaller than the sum of its proper divisors (237917830020).

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

101223212220 is a wasteful number, since it uses less digits than its factorization.

101223212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14419292 (or 14419284 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101223212220 its reverse (22212322101), we get a palindrome (123435534321).

The spelling of 101223212220 in words is "one hundred one billion, two hundred twenty-three million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 14419261 28838522 43257783 57677044 72096305 86515566 129773349 144192610 173031132 187450393 216288915 259546698 288385220 374900786 389320047 432577830 519093396 562351179 648866745 749801572 778640094 865155660 937251965 1124702358 1297733490 1557280188 1687053537 1874503930 1946600235 2249404716 2595466980 2811755895 3374107074 3749007860 3893200470 5061160611 5623511790 6748214148 7786400940 8435267685 10122321222 11247023580 16870535370 20244642444 25305803055 33741070740 50611606110 101223212220