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11127940158731 = 11294312723392731
BaseRepresentation
bin1010000111101110110011…
…1010111001010100001011
31110101211011021122010220212
42201323230322321110023
52424310010140034411
635400034413111335
72225652505452464
oct241735472712413
943354137563825
1011127940158731
113600373129890
1212b880478854b
1362948b62b8a6
142a6849249d6b
151446e378968b
hexa1eeceb950b

11127940158731 has 64 divisors (see below), whose sum is σ = 12961692057600. Its totient is φ = 9457688822400.

The previous prime is 11127940158619. The next prime is 11127940158739. The reversal of 11127940158731 is 13785104972111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11127940158731 - 242 = 6729893647627 is a prime.

It is a super-2 number, since 2×111279401587312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11127940158731.

It is not an unprimeable number, because it can be changed into a prime (11127940158739) 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, 4074674636 + ... + 4074677366.

It is an arithmetic number, because the mean of its divisors is an integer number (202526438400).

Almost surely, 211127940158731 is an apocalyptic number.

11127940158731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11127940158731 is a deficient number, since it is larger than the sum of its proper divisors (1833751898869).

11127940158731 is a wasteful number, since it uses less digits than its factorization.

11127940158731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280.

The product of its (nonzero) digits is 423360, while the sum is 50.

The spelling of 11127940158731 in words is "eleven trillion, one hundred twenty-seven billion, nine hundred forty million, one hundred fifty-eight thousand, seven hundred thirty-one".

Divisors: 1 11 29 43 127 319 473 1247 1397 2339 2731 3683 5461 13717 25729 30041 40513 60071 67831 79199 100577 117433 158369 297053 346837 746141 871189 1106347 1291763 1742059 2916733 3267583 3405557 3815207 6387809 8614537 10058273 12773279 14913991 32084063 37461127 70265899 94759907 110641003 140506069 164053901 185246461 274675787 370425091 432505739 811251743 2037711071 3021433657 4074676001 4757563129 7965597823 8923769173 23526300547 34883824949 87621576053 258789306017 383722074439 1011630923521 11127940158731