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10143290080 = 2557211117617
BaseRepresentation
bin10010111001001011…
…00101001011100000
3222011220101112011101
421130211211023200
5131233140240310
64354301524144
7506234354200
oct113445451340
928156345141
1010143290080
114335693a70
121b70b73654
13c585aa1c1
146c31c2400
153e576443a
hex25c9652e0

10143290080 has 144 divisors (see below), whose sum is σ = 30410369136. Its totient is φ = 3161518080.

The previous prime is 10143290041. The next prime is 10143290119. The reversal of 10143290080 is 8009234101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10143290041) and next prime (10143290119).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 27432 + ... + 145048.

It is an arithmetic number, because the mean of its divisors is an integer number (211183119).

Almost surely, 210143290080 is an apocalyptic number.

10143290080 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 10143290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205184568).

10143290080 is an abundant number, since it is smaller than the sum of its proper divisors (20267079056).

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

10143290080 is a wasteful number, since it uses less digits than its factorization.

10143290080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117657 (or 117642 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 10143290080 in words is "ten billion, one hundred forty-three million, two hundred ninety thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 160 176 196 220 224 245 280 308 352 385 392 440 490 539 560 616 770 784 880 980 1078 1120 1232 1540 1568 1760 1960 2156 2464 2695 3080 3920 4312 5390 6160 7840 8624 10780 12320 17248 21560 43120 86240 117617 235234 470468 588085 823319 940936 1176170 1293787 1646638 1881872 2352340 2587574 3293276 3763744 4116595 4704680 5175148 5763233 6468935 6586552 8233190 9056509 9409360 10350296 11526466 12937870 13173104 16466380 18113018 18818720 20700592 23052932 25875740 26346208 28816165 32932760 36226036 41401184 45282545 46105864 51751480 57632330 63395563 65865520 72452072 90565090 92211728 103502960 115264660 126791126 131731040 144904144 181130180 184423456 207005920 230529320 253582252 289808288 316977815 362260360 461058640 507164504 633955630 724520720 922117280 1014329008 1267911260 1449041440 2028658016 2535822520 5071645040 10143290080