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10214133103240 = 23511414712046673
BaseRepresentation
bin1001010010100010100111…
…0001100111101010001000
31100011110110111102222012221
42110220221301213222020
52314322021033300430
633420150304343424
72102642511604033
oct224505161475210
940143414388187
1010214133103240
113288875944930
12118b698614b74
1359125b51a681
1427451c25401a
1512aa5e03d57a
hex94a29c67a88

10214133103240 has 128 divisors (see below), whose sum is σ = 26228982366720. Its totient is φ = 3546540236800.

The previous prime is 10214133103217. The next prime is 10214133103259. The reversal of 10214133103240 is 4230133141201.

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, 5175457 + ... + 6871216.

It is an arithmetic number, because the mean of its divisors is an integer number (204913924740).

Almost surely, 210214133103240 is an apocalyptic number.

10214133103240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214133103240 is an abundant number, since it is smaller than the sum of its proper divisors (16014849263480).

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

10214133103240 is a wasteful number, since it uses less digits than its factorization.

10214133103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12046783 (or 12046779 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10214133103240 its reverse (4230133141201), we get a palindrome (14444266244441).

The spelling of 10214133103240 in words is "ten trillion, two hundred fourteen billion, one hundred thirty-three million, one hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 47 55 82 88 94 110 164 188 205 220 235 328 376 410 440 451 470 517 820 902 940 1034 1640 1804 1880 1927 2068 2255 2585 3608 3854 4136 4510 5170 7708 9020 9635 10340 15416 18040 19270 20680 21197 38540 42394 77080 84788 105985 169576 211970 423940 847880 12046673 24093346 48186692 60233365 96373384 120466730 132513403 240933460 265026806 481866920 493913593 530053612 566193631 662567015 987827186 1060107224 1132387262 1325134030 1975654372 2264774524 2469567965 2650268060 2830968155 3951308744 4529549048 4939135930 5300536120 5433049523 5661936310 6228129941 9878271860 10866099046 11323872620 12456259882 19756543720 21732198092 22647745240 23213938871 24912519764 27165247615 31140649705 43464396184 46427877742 49825039528 54330495230 62281299410 92855755484 108660990460 116069694355 124562598820 185711510968 217321980920 232139388710 249125197640 255353327581 464278777420 510706655162 928557554840 1021413310324 1276766637905 2042826620648 2553533275810 5107066551620 10214133103240