Search a number
-
+
123010111001414 = 271329732729116989
BaseRepresentation
bin11011111110000010000101…
…111110000101001101000110
3121010112122121010200101211102
4123332002011332011031012
5112110344201404021124
61113342022002140102
734624121136425420
oct3376020576051506
9533478533611742
10123010111001414
113621632787a9aa
1211968225351632
135383a5a940140
142253a14b41810
15e34b96881aae
hex6fe085f85346

123010111001414 has 128 divisors (see below), whose sum is σ = 238233943584000. Its totient is φ = 46324283056128.

The previous prime is 123010111001413. The next prime is 123010111001417. The reversal of 123010111001414 is 414100111010321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123010111001413) 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, 1051408832 + ... + 1051525820.

It is an arithmetic number, because the mean of its divisors is an integer number (1861202684250).

Almost surely, 2123010111001414 is an apocalyptic number.

123010111001414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

123010111001414 is a deficient number, since it is larger than the sum of its proper divisors (115223832582586).

123010111001414 is a wasteful number, since it uses less digits than its factorization.

123010111001414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119842.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 123010111001414 its reverse (414100111010321), we get a palindrome (537110222011735).

The spelling of 123010111001414 in words is "one hundred twenty-three trillion, ten billion, one hundred eleven million, one thousand, four hundred fourteen".

Divisors: 1 2 7 13 14 26 29 58 73 91 146 182 203 377 406 511 754 949 1022 1898 2117 2639 2729 4234 5278 5458 6643 13286 14819 19103 27521 29638 35477 38206 55042 70954 79141 116989 158282 192647 199217 233978 248339 385294 398434 496678 553987 818923 1028833 1107974 1394519 1520857 1637846 2057666 2589821 2789038 3041714 3392681 5179642 5777293 6785362 7201831 8540197 10645999 11554586 14403662 17080394 18128747 21291998 23748767 36257494 40441051 44104853 47497534 59781379 75104809 80882102 88209706 111022561 119562758 150209618 222045122 247665713 308733971 319262981 495331426 525733663 617467942 638525962 777157927 1051467326 1554315854 1733659991 2234840867 3219654269 3467319982 4150418753 4469681734 6439308538 8300837506 9258626449 18517252898 22537579883 23306197613 29052931271 45075159766 46612395226 58105862542 64810385143 120362143837 129620770286 163143383291 240724287674 302980568969 326286766582 605961137938 675879730777 842535006859 1351759461554 1685070013718 2120863982783 4241727965566 4731158115439 8786436500101 9462316230878 17572873000202 61505055500707 123010111001414