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1130312320020 = 2233513212385627
BaseRepresentation
bin10000011100101011110…
…111010100010000010100
311000001112102001011122000
4100130223313110100110
5122004334423220040
62223131443435300
7144443123124252
oct20345367242024
94001472034560
101130312320020
113a63a9923744
1216308b385b30
1382784a92a00
143c9c91b15d2
151e606c1e130
hex1072bdd4414

1130312320020 has 144 divisors (see below), whose sum is σ = 3807837472320. Its totient is φ = 278230702464.

The previous prime is 1130312319979. The next prime is 1130312320043. The reversal of 1130312320020 is 200232130311.

1130312320020 is a `hidden beast` number, since 1 + 1 + 30 + 312 + 320 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1130312319975 and 1130312320002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6101554 + ... + 6284073.

It is an arithmetic number, because the mean of its divisors is an integer number (26443315780).

Almost surely, 21130312320020 is an apocalyptic number.

1130312320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130312320020 is an abundant number, since it is smaller than the sum of its proper divisors (2677525152300).

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

1130312320020 is a wasteful number, since it uses less digits than its factorization.

1130312320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12385671 (or 12385650 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1130312320020 its reverse (200232130311), we get a palindrome (1330544450331).

The spelling of 1130312320020 in words is "one trillion, one hundred thirty billion, three hundred twelve million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 3042 3380 3510 4563 5070 6084 7020 7605 9126 10140 15210 18252 22815 30420 45630 91260 12385627 24771254 37156881 49542508 61928135 74313762 111470643 123856270 148627524 161013151 185784405 222941286 247712540 322026302 334411929 371568810 445882572 483039453 557353215 644052604 668823858 743137620 805065755 966078906 1114706430 1337647716 1449118359 1610131510 1672059645 1932157812 2093170963 2229412860 2415197265 2898236718 3220263020 3344119290 4186341926 4347355077 4830394530 5796473436 6279512889 6688238580 7245591795 8372683852 8694710154 9660789060 10465854815 12559025778 14491183590 17389420308 18838538667 20931709630 21736775385 25118051556 28982367180 31397564445 37677077334 41863419260 43473550770 56515616001 62795128890 75354154668 86947101540 94192693335 113031232002 125590257780 188385386670 226062464004 282578080005 376770773340 565156160010 1130312320020