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1011002111220 = 2235151163684599
BaseRepresentation
bin11101011011001000110…
…10111111010011110100
310120122120110211120202210
432231210122333103310
5113031013020024340
62052240431533420
7133020401104023
oct16554432772364
93518513746683
101011002111220
1135a8443759a2
12143b3268a270
137444c78211a
1436d0b7068ba
151b4725c1180
hexeb646bf4f4

1011002111220 has 96 divisors (see below), whose sum is σ = 2867039078400. Its totient is φ = 266171702400.

The previous prime is 1011002111219. The next prime is 1011002111237. The reversal of 1011002111220 is 221112001101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1011002111196 and 1011002111205.

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, 1134481 + ... + 1819079.

It is an arithmetic number, because the mean of its divisors is an integer number (29864990400).

Almost surely, 21011002111220 is an apocalyptic number.

1011002111220 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 1011002111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433519539200).

1011002111220 is an abundant number, since it is smaller than the sum of its proper divisors (1856036967180).

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

1011002111220 is a wasteful number, since it uses less digits than its factorization.

1011002111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684925 (or 684923 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011002111220 its reverse (221112001101), we get a palindrome (1232114112321).

The spelling of 1011002111220 in words is "one trillion, eleven billion, two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 163 302 326 453 489 604 652 755 815 906 978 1510 1630 1812 1956 2265 2445 3020 3260 4530 4890 9060 9780 24613 49226 73839 98452 123065 147678 246130 295356 369195 492260 684599 738390 1369198 1476780 2053797 2738396 3422995 4107594 6845990 8215188 10268985 13691980 20537970 41075940 103374449 111589637 206748898 223179274 310123347 334768911 413497796 446358548 516872245 557948185 620246694 669537822 1033744490 1115896370 1240493388 1339075644 1550616735 1673844555 2067488980 2231792740 3101233470 3347689110 6202466940 6695378220 16850035187 33700070374 50550105561 67400140748 84250175935 101100211122 168500351870 202200422244 252750527805 337000703740 505501055610 1011002111220