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1001202010020 = 2232541135664229
BaseRepresentation
bin11101001000111000100…
…10100100011110100100
310112201021111012212020200
432210130102210132210
5112400430203310040
62043540145430500
7132222501445302
oct16443422443644
93481244185220
101001202010020
11356675484903
1214205863b430
137354a314b84
143665bd3b272
151b09c04c630
hexe91c4a47a4

1001202010020 has 72 divisors (see below), whose sum is σ = 3111052122360. Its totient is φ = 260475317760.

The previous prime is 1001202010009. The next prime is 1001202010021. The reversal of 1001202010020 is 200102021001.

It can be written as a sum of positive squares in 4 ways, for example, as 36166910976 + 965035099044 = 190176^2 + 982362^2 .

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 = 1001202009984 and 1001202010011.

It is not an unprimeable number, because it can be changed into a prime (1001202010021) 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, 67824735 + ... + 67839494.

It is an arithmetic number, because the mean of its divisors is an integer number (43209057255).

Almost surely, 21001202010020 is an apocalyptic number.

1001202010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001202010020 is an abundant number, since it is smaller than the sum of its proper divisors (2109850112340).

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

1001202010020 is a wasteful number, since it uses less digits than its factorization.

1001202010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135664285 (or 135664280 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001202010020 its reverse (200102021001), we get a palindrome (1201304031021).

The spelling of 1001202010020 in words is "one trillion, one billion, two hundred two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 135664229 271328458 406992687 542656916 678321145 813985374 1220978061 1356642290 1627970748 2034963435 2441956122 2713284580 4069926870 4883912244 5562233389 6104890305 8139853740 11124466778 12209780610 16686700167 22248933556 24419561220 27811166945 33373400334 50060100501 55622333890 66746800668 83433500835 100120201002 111244667780 166867001670 200240402004 250300502505 333734003340 500601005010 1001202010020