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1002302332020 = 22325112917455631
BaseRepresentation
bin11101001010111011101…
…11111101110001110100
310112211010011200000021100
432211131313331301310
5112410203344111040
62044241253250100
7132261662152203
oct16453567756164
93484104600240
101002302332020
1135708a59a030
12142305033930
1373694279292
143672412123a
151b113948b30
hexe95ddfdc74

1002302332020 has 144 divisors (see below), whose sum is σ = 3431079025920. Its totient is φ = 234603667200.

The previous prime is 1002302331997. The next prime is 1002302332093. The reversal of 1002302332020 is 202332032001.

It is a happy number.

1002302332020 is a `hidden beast` number, since 1 + 0 + 0 + 230 + 233 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002302331984 and 1002302332002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8670396 + ... + 8785235.

It is an arithmetic number, because the mean of its divisors is an integer number (23826937680).

Almost surely, 21002302332020 is an apocalyptic number.

1002302332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002302332020 is an abundant number, since it is smaller than the sum of its proper divisors (2428776693900).

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

1002302332020 is a wasteful number, since it uses less digits than its factorization.

1002302332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17455686 (or 17455681 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1002302332020 its reverse (202332032001), we get a palindrome (1204634364021).

The spelling of 1002302332020 in words is "one trillion, two billion, three hundred two million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 57420 17455631 34911262 52366893 69822524 87278155 104733786 157100679 174556310 192011941 209467572 261834465 314201358 349112620 384023882 506213299 523668930 576035823 628402716 768047764 785503395 960059705 1012426598 1047337860 1152071646 1518639897 1571006790 1728107469 1920119410 2024853196 2304143292 2531066495 2880179115 3037279794 3142013580 3456214938 3840238820 4555919691 5062132990 5568346289 5760358230 6074559588 6912429876 7593199485 8640537345 9111839382 10124265980 11136692578 11520716460 15186398970 16705038867 17281074690 18223678764 22273385156 22779598455 27841731445 30372797940 33410077734 34562149380 45559196910 50115116601 55683462890 66820155468 83525194335 91118393820 100230233202 111366925780 167050388670 200460466404 250575583005 334100777340 501151166010 1002302332020