Search a number
-
+
96312211221369 = 311132413538273191
BaseRepresentation
bin10101111001100001101111…
…001000110010101101111001
3110122000100122121010011200210
4111321201233020302231321
5100110434402033040434
6540501115150421333
726200220243550123
oct2571415710625571
9418010577104623
1096312211221369
11287628634201a0
12a975b50801849
134198282cc66b0
1419ad7706d6213
15b2047d067ee9
hex57986f232b79

96312211221369 has 128 divisors (see below), whose sum is σ = 152153210474496. Its totient is φ = 53423935488000.

The previous prime is 96312211221283. The next prime is 96312211221389.

96312211221369 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 96312211221369 - 211 = 96312211219321 is a prime.

It is a super-2 number, since 2×963122112213692 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96312211221389) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30182452564 + ... + 30182455754.

It is an arithmetic number, because the mean of its divisors is an integer number (1188696956832).

Almost surely, 296312211221369 is an apocalyptic number.

It is an amenable number.

96312211221369 is a deficient number, since it is larger than the sum of its proper divisors (55840999253127).

96312211221369 is a wasteful number, since it uses less digits than its factorization.

96312211221369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4639.

The product of its digits is 419904, while the sum is 48.

The spelling of 96312211221369 in words is "ninety-six trillion, three hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, three hundred sixty-nine".

Divisors: 1 3 11 13 33 39 143 241 353 429 723 827 1059 2481 2651 3133 3191 3883 4589 7953 9097 9399 9573 10751 11649 13767 27291 32253 34463 35101 41483 50479 85073 103389 105303 118261 124449 151437 199307 255219 291931 354783 456313 597921 769031 875793 935803 1105949 1126423 1368939 2192377 2307093 2590991 2638957 2807409 3211241 3317847 3379269 3795103 6577131 7772973 7916871 8459341 9633723 9997403 11385309 12165439 12390653 14643499 25378023 28500901 29028527 29992209 34306441 36496317 37171959 41746133 43930497 70355371 85502703 87085581 102919323 109971433 125238399 161078489 211066113 271467943 329914299 377370851 483235467 635988637 773909081 814403829 914619823 931551821 1132112553 1907965911 2321727243 2743859469 2794655463 2986147373 3529083259 6995875007 8267852281 8958442119 10060818053 10247070031 10587249777 12110173673 20987625021 24803556843 30182454159 30741210093 36330521019 38819915849 90946375091 116459747547 133211910403 224503988861 272839125273 399635731209 673511966583 2469543877471 2918551855193 7408631632413 8755655565579 32104070407123 96312211221369