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1020010111020 = 223452326927059
BaseRepresentation
bin11101101011111010101…
…01110010000000101100
310121111211020222101110000
432311331111302000230
5113202440042023040
62100330340344300
7133456541614065
oct16657525620054
93544736871400
101020010111020
1136364713052a
121458273a5090
1375256aa3714
1437523c0156c
151b7ed32d130
hexed7d57202c

1020010111020 has 120 divisors (see below), whose sum is σ = 3200065268400. Its totient is φ = 271980955008.

The previous prime is 1020010110991. The next prime is 1020010111027. The reversal of 1020010111020 is 201110100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020010110993 and 1020010111011.

It is not an unprimeable number, because it can be changed into a prime (1020010111027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37682251 + ... + 37709309.

It is an arithmetic number, because the mean of its divisors is an integer number (26667210570).

Almost surely, 21020010111020 is an apocalyptic number.

1020010111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020010111020 is an abundant number, since it is smaller than the sum of its proper divisors (2180055157380).

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

1020010111020 is a wasteful number, since it uses less digits than its factorization.

1020010111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50349 (or 50338 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020010111020 its reverse (201110100201), we get a palindrome (1221120211221).

The spelling of 1020010111020 in words is "one trillion, twenty billion, ten million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 23269 27059 46538 54118 69807 81177 93076 108236 116345 135295 139614 162354 209421 232690 243531 270590 279228 324708 349035 405885 418842 465380 487062 541180 628263 698070 730593 811770 837684 974124 1047105 1217655 1256526 1396140 1461186 1623540 1884789 2094210 2191779 2435310 2513052 2922372 3141315 3652965 3769578 4188420 4383558 4870620 6282630 7305930 7539156 8767116 9423945 10958895 12565260 14611860 18847890 21917790 37695780 43835580 629635871 1259271742 1888907613 2518543484 3148179355 3777815226 5666722839 6296358710 7555630452 9444538065 11333445678 12592717420 17000168517 18889076130 22666891356 28333614195 34000337034 37778152260 51000505551 56667228390 68000674068 85000842585 102001011102 113334456780 170001685170 204002022204 255002527755 340003370340 510005055510 1020010111020