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202011211220 = 225721323689411
BaseRepresentation
bin1011110000100011001…
…1100111010111010100
3201022102111201210121212
42330020303213113110
511302204332224340
6232445213200552
720411011651400
oct2741063472724
9638374653555
10202011211220
1178744075a35
1233199190158
1316084bc04a0
149ac5258100
1553c4ceda65
hex2f08ce75d4

202011211220 has 144 divisors (see below), whose sum is σ = 554551982208. Its totient is φ = 61153424640.

The previous prime is 202011211201. The next prime is 202011211223. The reversal of 202011211220 is 22112110202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 202011211195 and 202011211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202011211223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51686 + ... + 637725.

It is an arithmetic number, because the mean of its divisors is an integer number (3851055432).

Almost surely, 2202011211220 is an apocalyptic number.

202011211220 is a gapful number since it is divisible by the number (20) 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 202011211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277275991104).

202011211220 is an abundant number, since it is smaller than the sum of its proper divisors (352540770988).

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

202011211220 is a wasteful number, since it uses less digits than its factorization.

202011211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689470 (or 689461 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202011211220 its reverse (22112110202), we get a palindrome (224123321422).

The spelling of 202011211220 in words is "two hundred two billion, eleven million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 49 52 65 70 91 92 98 115 130 140 161 182 196 230 245 260 299 322 364 455 460 490 598 637 644 805 910 980 1127 1196 1274 1495 1610 1820 2093 2254 2548 2990 3185 3220 4186 4508 5635 5980 6370 8372 10465 11270 12740 14651 20930 22540 29302 41860 58604 73255 146510 293020 689411 1378822 2757644 3447055 4825877 6894110 8962343 9651754 13788220 15856453 17924686 19303508 24129385 31712906 33781139 35849372 44811715 48258770 62736401 63425812 67562278 79282265 89623430 96517540 110995171 125472802 135124556 158564530 168905695 179246860 206133889 221990342 250945604 313682005 317129060 337811390 412267778 439154807 443980684 554975855 627364010 675622780 776966197 824535556 878309614 1030669445 1109951710 1254728020 1442937223 1553932394 1756619228 2061338890 2195774035 2219903420 2885874446 3107864788 3884830985 4122677780 4391548070 5771748892 7214686115 7769661970 8783096140 10100560561 14429372230 15539323940 20201121122 28858744460 40402242244 50502802805 101005605610 202011211220