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10114001453320 = 23517113131624173
BaseRepresentation
bin1001001100101101100101…
…1101101100000100001000
31022210220000011002010020021
42103023121131230010020
52311201433333001240
633302150315510224
72062466245613362
oct223133135540410
938726004063207
1010114001453320
11324a362170246
1211741b2758374
1358499166548b
1426d73d923d32
1512814d49b54a
hex932d976c108

10114001453320 has 64 divisors (see below), whose sum is σ = 24308352454320. Its totient is φ = 3773928259584.

The previous prime is 10114001453261. The next prime is 10114001453323. The reversal of 10114001453320 is 2335410041101.

It can be written as a sum of positive squares in 8 ways, for example, as 4665072974884 + 5448928478436 = 2159878^2 + 2334294^2 .

It is not an unprimeable number, because it can be changed into a prime (10114001453323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65735247 + ... + 65888926.

Almost surely, 210114001453320 is an apocalyptic number.

10114001453320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114001453320 is an abundant number, since it is smaller than the sum of its proper divisors (14194351001000).

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

10114001453320 is a wasteful number, since it uses less digits than its factorization.

10114001453320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131624314 (or 131624310 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 10114001453320 its reverse (2335410041101), we get a palindrome (12449411494421).

The spelling of 10114001453320 in words is "ten trillion, one hundred fourteen billion, one million, four hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 113 136 170 226 340 452 565 680 904 1130 1921 2260 3842 4520 7684 9605 15368 19210 38420 76840 131624173 263248346 526496692 658120865 1052993384 1316241730 2237610941 2632483460 4475221882 5264966920 8950443764 11188054705 14873531549 17900887528 22376109410 29747063098 44752218820 59494126196 74367657745 89504437640 118988252392 148735315490 252850036333 297470630980 505700072666 594941261960 1011400145332 1264250181665 2022800290664 2528500363330 5057000726660 10114001453320