Search a number
-
+
1001111002220 = 225728316773699
BaseRepresentation
bin11101001000101101101…
…11011001110001101100
310112201001010222012000102
432210112313121301230
5112400233404032340
62043523135050232
7132220315054400
oct16442667316154
93481033865012
101001111002220
1135662907534a
12142032070978
13735344cc2c4
143664dc0b100
151b094072215
hexe916dd9c6c

1001111002220 has 144 divisors (see below), whose sum is σ = 2489890233600. Its totient is φ = 337067531136.

The previous prime is 1001111002187. The next prime is 1001111002253. The reversal of 1001111002220 is 222001111001.

It is an interprime number because it is at equal distance from previous prime (1001111002187) and next prime (1001111002253).

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, 13546931 + ... + 13620629.

It is an arithmetic number, because the mean of its divisors is an integer number (17290904400).

Almost surely, 21001111002220 is an apocalyptic number.

1001111002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001111002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244945116800).

1001111002220 is an abundant number, since it is smaller than the sum of its proper divisors (1488779231380).

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

1001111002220 is a wasteful number, since it uses less digits than its factorization.

1001111002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73972 (or 73963 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001111002220 its reverse (222001111001), we get a palindrome (1223112113221).

The spelling of 1001111002220 in words is "one trillion, one billion, one hundred eleven million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 83 98 140 166 167 196 245 332 334 415 490 581 668 830 835 980 1162 1169 1660 1670 2324 2338 2905 3340 4067 4676 5810 5845 8134 8183 11620 11690 13861 16268 16366 20335 23380 27722 32732 40670 40915 55444 69305 73699 81340 81830 97027 138610 147398 163660 194054 277220 294796 368495 388108 485135 515893 679189 736990 970270 1031786 1358378 1473980 1940540 2063572 2579465 2716756 3395945 3611251 5158930 6117017 6791890 7222502 10317860 12234034 12307733 13583780 14445004 18056255 24468068 24615466 30585085 36112510 42819119 49230932 61170170 61538665 72225020 85638238 86154131 122340340 123077330 171276476 172308262 214095595 246154660 299733833 344616524 428191190 430770655 599467666 603078917 856382380 861541310 1021541839 1198935332 1206157834 1498669165 1723082620 2043083678 2412315668 2997338330 3015394585 4086167356 5107709195 5994676660 6030789170 7150792873 10215418390 12061578340 14301585746 20430836780 28603171492 35753964365 50055550111 71507928730 100111100222 143015857460 200222200444 250277750555 500555501110 1001111002220