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1202002001020 = 2251747103730283
BaseRepresentation
bin10001011111011100111…
…001101111110001111100
311020220120120211022002101
4101133130321233301330
5124143200003013040
62320105254234444
7152561505300502
oct21373471576174
94226516738071
101202002001020
11423847880097
12174b58055a24
138946b2b2ab2
144226a384672
152140084609a
hex117dce6fc7c

1202002001020 has 96 divisors (see below), whose sum is σ = 2756056762368. Its totient is φ = 438589842432.

The previous prime is 1202002001017. The next prime is 1202002001033. The reversal of 1202002001020 is 201002002021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1202002000988 and 1202002001006.

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, 1280799 + ... + 2011081.

It is an arithmetic number, because the mean of its divisors is an integer number (28708924608).

Almost surely, 21202002001020 is an apocalyptic number.

1202002001020 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 1202002001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378028381184).

1202002001020 is an abundant number, since it is smaller than the sum of its proper divisors (1554054761348).

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

1202002001020 is a wasteful number, since it uses less digits than its factorization.

1202002001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730459 (or 730457 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1202002001020 its reverse (201002002021), we get a palindrome (1403004003041).

The spelling of 1202002001020 in words is "one trillion, two hundred two billion, two million, one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 103 170 188 206 235 340 412 470 515 799 940 1030 1598 1751 2060 3196 3502 3995 4841 7004 7990 8755 9682 15980 17510 19364 24205 35020 48410 82297 96820 164594 329188 411485 730283 822970 1460566 1645940 2921132 3651415 7302830 12414811 14605660 24829622 34323301 49659244 62074055 68646602 75219149 124148110 137293204 150438298 171616505 248296220 300876596 343233010 376095745 583496117 686466020 752191490 1166992234 1278725533 1504382980 2333984468 2557451066 2917480585 3535300003 5114902132 5834961170 6393627665 7070600006 11669922340 12787255330 14141200012 17676500015 25574510660 35353000030 60100100051 70706000060 120200200102 240400400204 300500500255 601001000510 1202002001020