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1122232010020 = 22511101307164513
BaseRepresentation
bin10000010101001010001…
…111011000010100100100
310222021200021111220010021
4100111022033120110210
5121341312343310040
62215313554404524
7144035645460202
oct20251217302444
93867607456107
101122232010020
113a2a327931a0
121615b5290744
1381a97a113a4
143c45dda0072
151e2d265d24a
hex1054a3d8524

1122232010020 has 96 divisors (see below), whose sum is σ = 2604859399296. Its totient is φ = 402725376000.

The previous prime is 1122232009979. The next prime is 1122232010111. The reversal of 1122232010020 is 200102322211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1122232009976 and 1122232010003.

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, 6739284 + ... + 6903796.

It is an arithmetic number, because the mean of its divisors is an integer number (27133952076).

Almost surely, 21122232010020 is an apocalyptic number.

1122232010020 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 1122232010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302429699648).

1122232010020 is an abundant number, since it is smaller than the sum of its proper divisors (1482627389276).

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

1122232010020 is a wasteful number, since it uses less digits than its factorization.

1122232010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164941 (or 164939 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1122232010020 its reverse (200102322211), we get a palindrome (1322334332231).

The spelling of 1122232010020 in words is "one trillion, one hundred twenty-two billion, two hundred thirty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 307 404 505 614 1010 1111 1228 1535 2020 2222 3070 3377 4444 5555 6140 6754 11110 13508 16885 22220 31007 33770 62014 67540 124028 155035 164513 310070 329026 341077 620140 658052 682154 822565 1364308 1645130 1705385 1809643 3290260 3410770 3619286 6821540 7238572 9048215 16615813 18096430 33231626 36192860 50505491 66463252 83079065 101010982 166158130 182773943 202021964 252527455 332316260 365547886 505054910 555560401 731095772 913869715 1010109820 1111120802 1827739430 2222241604 2777802005 3655478860 5101054591 5555604010 10202109182 11111208020 20404218364 25505272955 51010545910 56111600501 102021091820 112223201002 224446402004 280558002505 561116005010 1122232010020