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121007739314 = 271129109331751
BaseRepresentation
bin111000010110010011…
…1111001000110110010
3102120100020102001221202
41300230213321012302
53440310440124224
6131331251451202
711512453545620
oct1605447710662
9376306361852
10121007739314
1147356794630
121b5512b6b02
13b545c04117
145bdd10a510
1532336b4eae
hex1c2c9f91b2

121007739314 has 128 divisors (see below), whose sum is σ = 237280665600. Its totient is φ = 44906400000.

The previous prime is 121007739313. The next prime is 121007739319. The reversal of 121007739314 is 413937700121.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121007739313) 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 63 ways as a sum of consecutive naturals, for example, 161128439 + ... + 161129189.

It is an arithmetic number, because the mean of its divisors is an integer number (1853755200).

Almost surely, 2121007739314 is an apocalyptic number.

121007739314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121007739314 is a deficient number, since it is larger than the sum of its proper divisors (116272926286).

121007739314 is a wasteful number, since it uses less digits than its factorization.

121007739314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240.

The product of its (nonzero) digits is 31752, while the sum is 38.

The spelling of 121007739314 in words is "one hundred twenty-one billion, seven million, seven hundred thirty-nine thousand, three hundred fourteen".

Divisors: 1 2 7 11 14 22 29 58 77 109 154 203 218 319 331 406 638 662 751 763 1199 1502 1526 2233 2317 2398 3161 3641 4466 4634 5257 6322 7282 8261 8393 9599 10514 16522 16786 19198 21779 22127 25487 34771 36079 43558 44254 50974 57827 67193 69542 72158 81859 105589 115654 134386 152453 163718 211178 239569 243397 248581 252553 304906 396869 479138 486794 497162 505106 573013 739123 793738 900449 1046291 1146026 1478246 1676983 1740067 1800898 2092582 2373911 2734391 2778083 3353966 3480134 4747822 5468782 5556166 6303143 7208849 7324037 11509201 12606286 14417698 14648074 16617377 19140737 23018402 26113021 27095329 33234754 38281474 50461943 52226042 54190658 79297339 80564407 100923886 158594678 161128814 182791147 189667303 298048619 365582294 379334606 555081373 596097238 785764541 1110162746 1571529082 2086340333 4172680666 5500351787 8643409951 11000703574 17286819902 60503869657 121007739314