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1023031020220 = 2251123591177549
BaseRepresentation
bin11101110001100010110…
…01101000101010111100
310121210121210100110210221
432320301121220222330
5113230131420121340
62101550213111124
7133624443123406
oct16706131505274
93553553313727
101023031020220
11364957382300
1214632b0284a4
13756188c9161
143772d0cbb76
151b92865244a
hexee31668abc

1023031020220 has 72 divisors (see below), whose sum is σ = 2368005948000. Its totient is φ = 370974721920.

The previous prime is 1023031020211. The next prime is 1023031020229. The reversal of 1023031020220 is 220201303201.

It is an interprime number because it is at equal distance from previous prime (1023031020211) and next prime (1023031020229).

It is a junction number, because it is equal to n+sod(n) for n = 1023031020194 and 1023031020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023031020229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280006 + ... + 1457554.

It is an arithmetic number, because the mean of its divisors is an integer number (32888971500).

Almost surely, 21023031020220 is an apocalyptic number.

1023031020220 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 1023031020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184002974000).

1023031020220 is an abundant number, since it is smaller than the sum of its proper divisors (1344974927780).

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

1023031020220 is a wasteful number, since it uses less digits than its factorization.

1023031020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177939 (or 1177926 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1023031020220 its reverse (220201303201), we get a palindrome (1243232323421).

The spelling of 1023031020220 in words is "one trillion, twenty-three billion, thirty-one million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 359 484 605 718 1210 1436 1795 2420 3590 3949 7180 7898 15796 19745 39490 43439 78980 86878 173756 217195 434390 868780 1177549 2355098 4710196 5887745 11775490 12953039 23550980 25906078 51812156 64765195 129530390 142483429 259060780 284966858 422740091 569933716 712417145 845480182 1424834290 1690960364 2113700455 2849668580 4227400910 4650141001 8454801820 9300282002 18600564004 23250705005 46501410010 51151551011 93002820020 102303102022 204606204044 255757755055 511515510110 1023031020220