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10030003020 = 22325415325643
BaseRepresentation
bin10010101011101010…
…11011001101001100
3221220000012221112100
421111311123031030
5131020140044040
64335133435100
7503360422212
oct112565331514
927800187470
1010030003020
1142877477a4
121b3b03ba90
13c3ac9393b
146b2132cb2
153da837b30
hex255d5b34c

10030003020 has 144 divisors (see below), whose sum is σ = 31755683232. Its totient is φ = 2560097280.

The previous prime is 10030003013. The next prime is 10030003063. The reversal of 10030003020 is 2030003001.

It is a happy number.

It is a super-3 number, since 3×100300030203 (a number of 31 digits) contains 333 as substring.

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 = 10030002993 and 10030003011.

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, 378319 + ... + 403961.

It is an arithmetic number, because the mean of its divisors is an integer number (220525578).

Almost surely, 210030003020 is an apocalyptic number.

10030003020 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 10030003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15877841616).

10030003020 is an abundant number, since it is smaller than the sum of its proper divisors (21725680212).

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

10030003020 is a wasteful number, since it uses less digits than its factorization.

10030003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25752 (or 25747 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 10030003020 its reverse (2030003001), we get a palindrome (12060006021).

The spelling of 10030003020 in words is "ten billion, thirty million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 53 60 82 90 106 123 159 164 180 205 212 246 265 318 369 410 477 492 530 615 636 738 795 820 954 1060 1230 1476 1590 1845 1908 2173 2385 2460 3180 3690 4346 4770 6519 7380 8692 9540 10865 13038 19557 21730 25643 26076 32595 39114 43460 51286 65190 76929 78228 97785 102572 128215 130380 153858 195570 230787 256430 307716 384645 391140 461574 512860 769290 923148 1051363 1153935 1359079 1538580 2102726 2307870 2718158 3154089 4077237 4205452 4615740 5256815 5436316 6308178 6795395 8154474 9462267 10513630 12231711 12616356 13590790 15770445 16308948 18924534 20386185 21027260 24463422 27181580 31540890 37849068 40772370 47311335 48926844 55722239 61158555 63081780 81544740 94622670 111444478 122317110 167166717 189245340 222888956 244634220 278611195 334333434 501500151 557222390 668666868 835833585 1003000302 1114444780 1671667170 2006000604 2507500755 3343334340 5015001510 10030003020