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1020143233120 = 255111493890113
BaseRepresentation
bin11101101100001010100…
…01100110100001100000
310121112011112110200122011
432312011101212201200
5113203223131424440
62100351453522304
7133463046260134
oct16660521464140
93545145420564
101020143233120
113637052950a0
12145863aa3394
13752785432ab
14375377753c4
151b809d769ea
hexed85466860

1020143233120 has 96 divisors (see below), whose sum is σ = 2646833565600. Its totient is φ = 368471408640.

The previous prime is 1020143233051. The next prime is 1020143233139. The reversal of 1020143233120 is 213323410201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1020143233091 and 1020143233100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1682817 + ... + 2207296.

It is an arithmetic number, because the mean of its divisors is an integer number (27571182975).

Almost surely, 21020143233120 is an apocalyptic number.

1020143233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020143233120 is an abundant number, since it is smaller than the sum of its proper divisors (1626690332480).

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

1020143233120 is a wasteful number, since it uses less digits than its factorization.

1020143233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890288 (or 3890280 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1020143233120 its reverse (213323410201), we get a palindrome (1233466643321).

The spelling of 1020143233120 in words is "one trillion, twenty billion, one hundred forty-three million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 149 160 176 220 298 352 440 596 745 880 1192 1490 1639 1760 2384 2980 3278 4768 5960 6556 8195 11920 13112 16390 23840 26224 32780 52448 65560 131120 262240 3890113 7780226 15560452 19450565 31120904 38901130 42791243 62241808 77802260 85582486 124483616 155604520 171164972 213956215 311209040 342329944 427912430 579626837 622418080 684659888 855824860 1159253674 1369319776 1711649720 2318507348 2898134185 3423299440 4637014696 5796268370 6375895207 6846598880 9274029392 11592536740 12751790414 18548058784 23185073480 25503580828 31879476035 46370146960 51007161656 63758952070 92740293920 102014323312 127517904140 204028646624 255035808280 510071616560 1020143233120