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1010113147720 = 2351949111932269
BaseRepresentation
bin11101011001011110110…
…11110111001101001000
310120120021112002120002201
432230233123313031020
5113022202431211340
62052012314205544
7132656355042505
oct16545733671510
93516245076081
101010113147720
1135a4285a1516
12143924a238b4
137433a551011
1436c656204ac
151b41e52479a
hexeb2f6f7348

1010113147720 has 128 divisors (see below), whose sum is σ = 2400312528000. Its totient is φ = 381511710720.

The previous prime is 1010113147709. The next prime is 1010113147751. The reversal of 1010113147720 is 277413110101.

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, 445178746 + ... + 445181014.

It is an arithmetic number, because the mean of its divisors is an integer number (18752441625).

Almost surely, 21010113147720 is an apocalyptic number.

1010113147720 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 1010113147720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200156264000).

1010113147720 is an abundant number, since it is smaller than the sum of its proper divisors (1390199380280).

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

1010113147720 is a wasteful number, since it uses less digits than its factorization.

1010113147720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 28.

Adding to 1010113147720 its reverse (277413110101), we get a palindrome (1287526257821).

The spelling of 1010113147720 in words is "one trillion, ten billion, one hundred thirteen million, one hundred forty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 491 760 982 1193 1964 2269 2386 2455 3928 4538 4772 4910 5965 9076 9329 9544 9820 11345 11930 18152 18658 19640 22667 22690 23860 37316 43111 45334 45380 46645 47720 74632 86222 90668 90760 93290 113335 172444 181336 186580 215555 226670 344888 373160 431110 453340 585763 862220 906680 1114079 1171526 1724440 2228158 2343052 2706917 2928815 4456316 4686104 5413834 5570395 5857630 8912632 10827668 11129497 11140790 11715260 13534585 21167501 21655336 22258994 22281580 23430520 27069170 42335002 44517988 44563160 51431423 54138340 55647485 84670004 89035976 102862846 105837505 108276680 111294970 169340008 205725692 211675010 222589940 257157115 411451384 423350020 445179880 514314230 846700040 1028628460 1329096247 2057256920 2658192494 5316384988 6645481235 10632769976 13290962470 25252828693 26581924940 50505657386 53163849880 101011314772 126264143465 202022629544 252528286930 505056573860 1010113147720