Search a number
-
+
1127299983160 = 2351379165716561
BaseRepresentation
bin10000011001111000010…
…100001010011100111000
310222202202110210121022011
4100121320110022130320
5121432202243430120
62221512514535304
7144305354520121
oct20317024123470
93882673717264
101127299983160
113a50a34a744a
1216258a597534
13823c497c070
143c7c10b7048
151e4cc53ec5a
hex1067850a738

1127299983160 has 128 divisors (see below), whose sum is σ = 2767947436800. Its totient is φ = 410692239360.

The previous prime is 1127299983137. The next prime is 1127299983163. The reversal of 1127299983160 is 613899927211.

It is a junction number, because it is equal to n+sod(n) for n = 1127299983095 and 1127299983104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127299983163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68061280 + ... + 68077840.

It is an arithmetic number, because the mean of its divisors is an integer number (21624589350).

Almost surely, 21127299983160 is an apocalyptic number.

1127299983160 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 1127299983160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383973718400).

1127299983160 is an abundant number, since it is smaller than the sum of its proper divisors (1640647453640).

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

1127299983160 is a wasteful number, since it uses less digits than its factorization.

1127299983160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18321 (or 18317 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 58.

The spelling of 1127299983160 in words is "one trillion, one hundred twenty-seven billion, two hundred ninety-nine million, nine hundred eighty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 130 158 260 316 395 520 632 790 1027 1580 1657 2054 3160 3314 4108 5135 6628 8216 8285 10270 13256 16561 16570 20540 21541 33122 33140 41080 43082 66244 66280 82805 86164 107705 130903 132488 165610 172328 215293 215410 261806 331220 430586 430820 523612 654515 662440 861172 861640 1047224 1076465 1308319 1309030 1701739 1722344 2152930 2616638 2618060 3403478 4305860 5233276 5236120 6541595 6806956 8508695 8611720 10466552 13083190 13613912 17008147 17017390 26166380 27441577 34016294 34034780 52332760 54883154 68032588 68069560 85040735 109766308 136065176 137207885 170081470 219532616 274415770 340162940 356740501 548831540 680325880 713481002 1097663080 1426962004 1783702505 2167884583 2853924008 3567405010 4335769166 7134810020 8671538332 10839422915 14269620040 17343076664 21678845830 28182499579 43357691660 56364999158 86715383320 112729998316 140912497895 225459996632 281824995790 563649991580 1127299983160