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1137134001318 = 2373112714334799
BaseRepresentation
bin10000100011000010011…
…101111101110010100110
311000201010211020111010220
4100203002131331302212
5122112322301020233
62230220412025210
7145104145350030
oct20430235756246
94021124214126
101137134001318
113a928a553887
12164473a62206
1383301163113
143d075190c50
151e8a5a62eb3
hex108c277dca6

1137134001318 has 128 divisors (see below), whose sum is σ = 2706584371200. Its totient is φ = 311656584960.

The previous prime is 1137134001317. The next prime is 1137134001331. The reversal of 1137134001318 is 8131004317311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137134001317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236949883 + ... + 236954681.

It is an arithmetic number, because the mean of its divisors is an integer number (21145190400).

Almost surely, 21137134001318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137134001318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353292185600).

1137134001318 is an abundant number, since it is smaller than the sum of its proper divisors (1569450369882).

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

1137134001318 is a wasteful number, since it uses less digits than its factorization.

1137134001318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402.

The product of its (nonzero) digits is 6048, while the sum is 33.

Adding to 1137134001318 its reverse (8131004317311), we get a palindrome (9268138318629).

The spelling of 1137134001318 in words is "one trillion, one hundred thirty-seven billion, one hundred thirty-four million, one thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 127 186 217 254 381 434 651 762 889 1302 1433 1778 2667 2866 3937 4299 4799 5334 7874 8598 9598 10031 11811 14397 20062 23622 27559 28794 30093 33593 44423 55118 60186 67186 82677 88846 100779 133269 148769 165354 181991 201558 266538 297538 310961 363982 446307 545973 609473 621922 892614 932883 1041383 1091946 1218946 1273937 1828419 1865766 2082766 2547874 3124149 3656838 3821811 4266311 5641721 6248298 6876967 7643622 8532622 11283442 12798933 13753934 16925163 18893663 20630901 25597866 33850326 37787326 39492047 41261802 48138769 56680989 78984094 96277538 113361978 118476141 132255641 144416307 213185977 236952282 264511282 288832614 396766923 426371954 639557931 793533846 873374809 1279115862 1492301839 1746749618 2620124427 2984603678 4476905517 5240248854 6113623663 8953811034 12227247326 18340870989 27074619079 36681741978 54149238158 81223857237 162447714474 189522333553 379044667106 568567000659 1137134001318