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10130001011140 = 225171031372111411
BaseRepresentation
bin1001001101101001001100…
…0111001010000111000100
31022212102022012001212110211
42103122103013022013010
52311432220224324030
633313354101525204
72063603603612503
oct223322307120704
938772265055424
1010130001011140
1132561225338aa
121177318a13804
135863412c535a
1427041a7bc83a
15128787e0612a
hex936931ca1c4

10130001011140 has 96 divisors (see below), whose sum is σ = 22909056678144. Its totient is φ = 3749053378560.

The previous prime is 10130001011071. The next prime is 10130001011161. The reversal of 10130001011140 is 4111010003101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10130001011140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3742035 + ... + 5853445.

It is an arithmetic number, because the mean of its divisors is an integer number (238636007064).

Almost surely, 210130001011140 is an apocalyptic number.

10130001011140 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 10130001011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11454528339072).

10130001011140 is an abundant number, since it is smaller than the sum of its proper divisors (12779055667004).

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

10130001011140 is a wasteful number, since it uses less digits than its factorization.

10130001011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111677 (or 2111675 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10130001011140 its reverse (4111010003101), we get a palindrome (14241011014241).

The spelling of 10130001011140 in words is "ten trillion, one hundred thirty billion, one million, eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 137 170 206 274 340 412 515 548 685 1030 1370 1751 2060 2329 2740 3502 4658 7004 8755 9316 11645 14111 17510 23290 28222 35020 46580 56444 70555 141110 239887 282220 479774 959548 1199435 2111411 2398870 4222822 4797740 8445644 10557055 21114110 35893987 42228220 71787974 143575948 179469935 217475333 289263307 358939870 434950666 578526614 717879740 869901332 1087376665 1157053228 1446316535 2174753330 2892633070 3697080661 4349506660 4917476219 5785266140 7394161322 9834952438 14788322644 18485403305 19669904876 24587381095 29794120621 36970806610 49174762190 59588241242 73941613220 98349524380 119176482484 148970603105 297941206210 506500050557 595882412420 1013000101114 2026000202228 2532500252785 5065000505570 10130001011140