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1021001001020 = 2257111350999051
BaseRepresentation
bin11101101101110000110…
…01101110100000111100
310121121101022111210222122
432312320121232200330
5113212002224013040
62101012534502112
7133523233213160
oct16667031564074
93547338453878
101021001001020
113640054a1890
12145a63204938
1375384171170
14375b965aca0
151b85a3101b5
hexedb866e83c

1021001001020 has 96 divisors (see below), whose sum is σ = 2878794487296. Its totient is φ = 293754528000.

The previous prime is 1021001001017. The next prime is 1021001001023. The reversal of 1021001001020 is 201001001201.

It is an interprime number because it is at equal distance from previous prime (1021001001017) and next prime (1021001001023).

It is a junction number, because it is equal to n+sod(n) for n = 1021001000989 and 1021001001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021001001023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25479506 + ... + 25519545.

It is an arithmetic number, because the mean of its divisors is an integer number (29987442576).

Almost surely, 21021001001020 is an apocalyptic number.

1021001001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021001001020 is an abundant number, since it is smaller than the sum of its proper divisors (1857793486276).

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

1021001001020 is a wasteful number, since it uses less digits than its factorization.

1021001001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50999091 (or 50999089 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1021001001020 its reverse (201001001201), we get a palindrome (1222002002221).

The spelling of 1021001001020 in words is "one trillion, twenty-one billion, one million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 50999051 101998102 203996204 254995255 356993357 509990510 560989561 662987663 713986714 1019981020 1121979122 1325975326 1427973428 1784966785 2243958244 2651950652 2804947805 3314938315 3569933570 3926926927 4640913641 5609895610 6629876630 7139867140 7292864293 7853853854 9281827282 11219791220 13259753260 14585728586 15707707708 18563654564 19634634635 23204568205 29171457172 36464321465 39269269270 46409136410 51050050051 72928642930 78538538540 92818272820 102100100102 145857285860 204200200204 255250250255 510500500510 1021001001020