Search a number
-
+
1020122011220 = 225135967992549
BaseRepresentation
bin11101101100001000000…
…00101001011001010100
310121112010001112111122212
432312010000221121110
5113203202213324340
62100345415012552
7133462401011534
oct16660400513124
93545101474585
101020122011220
113636a430a834
1214585896a158
1375274022960
1437534a0d4c4
151b808083a65
hexed84029654

1020122011220 has 96 divisors (see below), whose sum is σ = 2381167152000. Its totient is φ = 364749479424.

The previous prime is 1020122011219. The next prime is 1020122011277. The reversal of 1020122011220 is 221102210201.

It is a junction number, because it is equal to n+sod(n) for n = 1020122011195 and 1020122011204.

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, 531506 + ... + 1524054.

It is an arithmetic number, because the mean of its divisors is an integer number (24803824500).

Almost surely, 21020122011220 is an apocalyptic number.

1020122011220 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 1020122011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190583576000).

1020122011220 is an abundant number, since it is smaller than the sum of its proper divisors (1361045140780).

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

1020122011220 is a wasteful number, since it uses less digits than its factorization.

1020122011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992697 (or 992695 counting only the distinct ones).

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

Adding to 1020122011220 its reverse (221102210201), we get a palindrome (1241224221421).

The spelling of 1020122011220 in words is "one trillion, twenty billion, one hundred twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 67 118 130 134 236 260 268 295 335 590 670 767 871 1180 1340 1534 1742 3068 3484 3835 3953 4355 7670 7906 8710 15340 15812 17420 19765 39530 51389 79060 102778 205556 256945 513890 992549 1027780 1985098 3970196 4962745 9925490 12903137 19850980 25806274 51612548 58560391 64515685 66500783 117120782 129031370 133001566 234241564 258062740 266003132 292801955 332503915 585603910 665007830 761285083 864510179 1171207820 1330015660 1522570166 1729020358 3045140332 3458040716 3806425415 3923546197 4322550895 7612850830 7847092394 8645101790 15225701660 15694184788 17290203580 19617730985 39235461970 51006100561 78470923940 102012201122 204024402244 255030502805 510061005610 1020122011220