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1130323656400 = 245223971266611
BaseRepresentation
bin10000011100101100100…
…010100011111011010000
311000001120012101010012221
4100130230202203323100
5122004400324001100
62223132530430424
7144443321361031
oct20345442437320
94001505333187
101130323656400
113a6405266954
12163093132414
1382787231923
143c9ca8c2a88
151e607c0d01a
hex1072c8a3ed0

1130323656400 has 120 divisors (see below), whose sum is σ = 2862887638464. Its totient is φ = 428012851200.

The previous prime is 1130323656391. The next prime is 1130323656401. The reversal of 1130323656400 is 46563230311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130323656401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259095 + ... + 1525705.

Almost surely, 21130323656400 is an apocalyptic number.

1130323656400 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 1130323656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431443819232).

1130323656400 is an abundant number, since it is smaller than the sum of its proper divisors (1732563982064).

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

1130323656400 is a wasteful number, since it uses less digits than its factorization.

1130323656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266749 (or 1266738 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 1130323656400 its reverse (46563230311), we get a palindrome (1176886886711).

The spelling of 1130323656400 in words is "one trillion, one hundred thirty billion, three hundred twenty-three million, six hundred fifty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 97 100 115 184 194 200 230 368 388 400 460 485 575 776 920 970 1150 1552 1840 1940 2231 2300 2425 3880 4462 4600 4850 7760 8924 9200 9700 11155 17848 19400 22310 35696 38800 44620 55775 89240 111550 178480 223100 446200 892400 1266611 2533222 5066444 6333055 10132888 12666110 20265776 25332220 29132053 31665275 50664440 58264106 63330550 101328880 116528212 122861267 126661100 145660265 233056424 245722534 253322200 291320530 466112848 491445068 506644400 582641060 614306335 728301325 982890136 1165282120 1228612670 1456602650 1965780272 2330564240 2457225340 2825809141 2913205300 3071531675 4914450680 5651618282 5826410600 6143063350 9828901360 11303236564 11652821200 12286126700 14129045705 22606473128 24572253400 28258091410 45212946256 49144506800 56516182820 70645228525 113032365640 141290457050 226064731280 282580914100 565161828200 1130323656400