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10030000400 = 2452731115553
BaseRepresentation
bin10010101011101010…
…11010100100010000
3221220000012210221022
421111311122210100
5131020140003100
64335133415012
7503360411450
oct112565324420
927800183838
1010030000400
114287745832
121b3b03a468
13c3ac926a4
146b2131d60
153da836e85
hex255d5a910

10030000400 has 120 divisors (see below), whose sum is σ = 28428132864. Its totient is φ = 3327897600.

The previous prime is 10030000397. The next prime is 10030000451. The reversal of 10030000400 is 400003001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29024 + ... + 144576.

Almost surely, 210030000400 is an apocalyptic number.

10030000400 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 10030000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14214066432).

10030000400 is an abundant number, since it is smaller than the sum of its proper divisors (18398132464).

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

10030000400 is a wasteful number, since it uses less digits than its factorization.

10030000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115609 (or 115598 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 10030000400 its reverse (400003001), we get a palindrome (10430003401).

The spelling of 10030000400 in words is "ten billion, thirty million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 140 155 175 200 217 248 280 310 350 400 434 496 560 620 700 775 868 1085 1240 1400 1550 1736 2170 2480 2800 3100 3472 4340 5425 6200 8680 10850 12400 17360 21700 43400 86800 115553 231106 462212 577765 808871 924424 1155530 1617742 1848848 2311060 2888825 3235484 3582143 4044355 4622120 5777650 6470968 7164286 8088710 9244240 11555300 12941936 14328572 16177420 17910715 20221775 23110600 25075001 28657144 32354840 35821430 40443550 46221200 50150002 57314288 64709680 71642860 80887100 89553575 100300004 125375005 143285720 161774200 179107150 200600008 250750010 286571440 323548400 358214300 401200016 501500020 626875025 716428600 1003000040 1253750050 1432857200 2006000080 2507500100 5015000200 10030000400