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1030206100008 = 2331722322874951
BaseRepresentation
bin11101111110111010001…
…00011001001000101000
310122111010211112021220210
432333131010121020220
5113334330230200013
62105134204021120
7134300316236361
oct16773504311050
93574124467823
101030206100008
113679a9538a08
121477b1b317a0
13761c02725b7
1437c0ddc0b68
151bbe8501cc3
hexefdd119228

1030206100008 has 128 divisors (see below), whose sum is σ = 2740996177920. Its totient is φ = 321546931200.

The previous prime is 1030206099911. The next prime is 1030206100067. The reversal of 1030206100008 is 8000016020301.

1030206100008 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10302061000082 (a number of 25 digits) contains 22 as substring.

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, 208077933 + ... + 208082883.

It is an arithmetic number, because the mean of its divisors is an integer number (21414032640).

Almost surely, 21030206100008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030206100008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370498088960).

1030206100008 is an abundant number, since it is smaller than the sum of its proper divisors (1710790077912).

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

1030206100008 is a wasteful number, since it uses less digits than its factorization.

1030206100008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7487 (or 7483 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 1030206100008 in words is "one trillion, thirty billion, two hundred six million, one hundred thousand, eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 223 408 446 669 892 1338 1784 2287 2676 3791 4574 4951 5352 6861 7582 9148 9902 11373 13722 14853 15164 18296 19804 22746 27444 29706 30328 38879 39608 45492 54888 59412 77758 84167 90984 116637 118824 155516 168334 233274 252501 311032 336668 466548 505002 510001 673336 933096 1010004 1020002 1104073 1530003 2020008 2040004 2208146 3060006 3312219 4080008 4416292 6120012 6624438 8670017 8832584 11322937 12240024 13248876 17340034 18769241 22645874 26010051 26497752 33968811 34680068 37538482 45291748 52020102 56307723 67937622 69360136 75076964 90583496 104040204 112615446 135875244 150153928 192489929 208080408 225230892 271750488 384979858 450461784 577469787 769959716 1154939574 1539919432 2309879148 2525014951 4619758296 5050029902 7575044853 10100059804 15150089706 20200119608 30300179412 42925254167 60600358824 85850508334 128775762501 171701016668 257551525002 343402033336 515103050004 1030206100008