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10030003131120 = 2435738511550309
BaseRepresentation
bin1001000111110100101011…
…0001100001001011110000
31022111212012011102020021220
42101331022301201023300
52303312421300143440
633155415252145040
72053433553633630
oct221751261411360
938455164366256
1010030003131120
113217778316555
12115ba6b908180
13579a9607884b
14269651b506c0
15125d83e898d0
hex91f4ac612f0

10030003131120 has 160 divisors (see below), whose sum is σ = 35544118602240. Its totient is φ = 2291975347200.

The previous prime is 10030003131107. The next prime is 10030003131149. The reversal of 10030003131120 is 2113130003001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10030003131120.

It is a congruent number.

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, 5694526 + ... + 7244834.

It is an arithmetic number, because the mean of its divisors is an integer number (222150741264).

Almost surely, 210030003131120 is an apocalyptic number.

10030003131120 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 10030003131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772059301120).

10030003131120 is an abundant number, since it is smaller than the sum of its proper divisors (25514115471120).

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

10030003131120 is a wasteful number, since it uses less digits than its factorization.

10030003131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554183 (or 1554177 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10030003131120 its reverse (2113130003001), we get a palindrome (12143133134121).

The spelling of 10030003131120 in words is "ten trillion, thirty billion, three million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3851 7702 11553 15404 19255 23106 26957 30808 38510 46212 53914 57765 61616 77020 80871 92424 107828 115530 134785 154040 161742 184848 215656 231060 269570 308080 323484 404355 431312 462120 539140 646968 808710 924240 1078280 1293936 1550309 1617420 2156560 3100618 3234840 4650927 6201236 6469680 7751545 9301854 10852163 12402472 15503090 18603708 21704326 23254635 24804944 31006180 32556489 37207416 43408652 46509270 54260815 62012360 65112978 74414832 86817304 93018540 108521630 124024720 130225956 162782445 173634608 186037080 217043260 260451912 325564890 372074160 434086520 520903824 651129780 868173040 1302259560 2604519120 5970239959 11940479918 17910719877 23880959836 29851199795 35821439754 41791679713 47761919672 59702399590 71642879508 83583359426 89553599385 95523839344 119404799180 125375039139 143285759016 167166718852 179107198770 208958398565 238809598360 250750078278 286571518032 334333437704 358214397540 417916797130 477619196720 501500156556 626875195695 668666875408 716428795080 835833594260 1003000313112 1253750391390 1432857590160 1671667188520 2006000626224 2507500782780 3343334377040 5015001565560 10030003131120