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101223122220 = 2232511371381697
BaseRepresentation
bin101111001000101011…
…1100100010100101100
3100200021102011101111200
41132101113210110230
53124301104402340
6114300134445500
710212255225333
oct1362127442454
9320242141450
10101223122220
1139a238a4a10
121774b503890
13971203b4bc
144c8368cd1a
1529767e1330
hex17915e452c

101223122220 has 144 divisors (see below), whose sum is σ = 344009641248. Its totient is φ = 23875706880.

The previous prime is 101223122149. The next prime is 101223122263. The reversal of 101223122220 is 22221322101.

101223122220 is a `hidden beast` number, since 10 + 122 + 312 + 2 + 220 = 666.

It is a super-2 number, since 2×1012231222202 (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 = 101223122193 and 101223122202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617589 + ... + 764108.

It is an arithmetic number, because the mean of its divisors is an integer number (2388955842).

Almost surely, 2101223122220 is an apocalyptic number.

101223122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101223122220 is an abundant number, since it is smaller than the sum of its proper divisors (242786519028).

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

101223122220 is a wasteful number, since it uses less digits than its factorization.

101223122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381760 (or 1381755 counting only the distinct ones).

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

Adding to 101223122220 its reverse (22221322101), we get a palindrome (123444444321).

The spelling of 101223122220 in words is "one hundred one billion, two hundred twenty-three million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 1381697 2763394 4145091 5526788 6908485 8290182 12435273 13816970 15198667 16580364 20725455 24870546 27633940 30397334 41450910 45596001 49741092 51122789 60794668 62176365 75993335 82901820 91192002 102245578 124352730 136788003 151986670 153368367 182384004 204491156 227980005 248705460 255613945 273576006 303973340 306736734 455960010 460105101 511227890 547152012 562350679 613473468 683940015 766841835 911920020 920210202 1022455780 1124701358 1367880030 1533683670 1687052037 1840420404 2249402716 2300525505 2735760060 2811753395 3067367340 3374104074 4601051010 5061156111 5623506790 6748208148 8435260185 9202102020 10122312222 11247013580 16870520370 20244624444 25305780555 33741040740 50611561110 101223122220