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101031043440030 = 235112324907534431
BaseRepresentation
bin10110111110001100011111…
…011101001001110110011110
3111020201110210010110002202220
4112332030133131021312132
5101220243034110040110
6554513004241530210
730165152303604324
oct2676143735116636
9436643703402686
10101031043440030
112a21203016a030
12b3b85b0043966
13444b256a132c2
141ad3d000bbd14
15ba30b1572370
hex5be31f749d9e

101031043440030 has 128 divisors (see below), whose sum is σ = 276030006460416. Its totient is φ = 23426503900800.

The previous prime is 101031043440017. The next prime is 101031043440037. The reversal of 101031043440030 is 30044340130101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031043440037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188776915 + ... + 189311345.

It is an arithmetic number, because the mean of its divisors is an integer number (2156484425472).

Almost surely, 2101031043440030 is an apocalyptic number.

101031043440030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101031043440030 is an abundant number, since it is smaller than the sum of its proper divisors (174998963020386).

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

101031043440030 is a wasteful number, since it uses less digits than its factorization.

101031043440030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559382.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101031043440030 its reverse (30044340130101), we get a palindrome (131075383570131).

The spelling of 101031043440030 in words is "one hundred one trillion, thirty-one billion, forty-three million, four hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 7590 24907 49814 74721 124535 149442 249070 273977 373605 534431 547954 572861 747210 821931 1068862 1145722 1369885 1603293 1643862 1718583 2672155 2739770 2864305 3206586 3437166 4109655 5344310 5728610 5878741 6301471 8016465 8219310 8592915 11757482 12291913 12602942 16032930 17185830 17636223 18904413 24583826 29393705 31507355 35272446 36875739 37808826 58787410 61459565 63014710 73751478 88181115 94522065 122919130 135211043 176362230 184378695 189044130 270422086 368757390 405633129 676055215 811266258 1352110430 2028165645 4056331290 13311072917 26622145834 39933218751 66555364585 79866437502 133110729170 146421802087 199666093755 292843604174 306154677091 399332187510 439265406261 612309354182 732109010435 878530812522 918464031273 1464218020870 1530773385455 1836928062546 2196327031305 3061546770910 3367701448001 4392654062610 4592320156365 6735402896002 9184640312730 10103104344003 16838507240005 20206208688006 33677014480010 50515521720015 101031043440030