Search a number
-
+
15151255031000 = 2353112796149261
BaseRepresentation
bin1101110001111010110100…
…1011001000110011011000
31222122110001000101001222202
43130132231023020303120
53441214232241443000
652120220201505332
73122433136556264
oct334365513106330
958573030331882
1015151255031000
11491167a522030
1218484b87a2248
1385b9ac7c071a
143a5478bdd0a4
151b41bb4eedd5
hexdc7ad2c8cd8

15151255031000 has 128 divisors (see below), whose sum is σ = 38679190355520. Its totient is φ = 5509238400000.

The previous prime is 15151255030999. The next prime is 15151255031027. The reversal of 15151255031000 is 13055215151.

It is a super-2 number, since 2×151512550310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307546370 + ... + 307595630.

Almost surely, 215151255031000 is an apocalyptic number.

15151255031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15151255031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339595177760).

15151255031000 is an abundant number, since it is smaller than the sum of its proper divisors (23527935324520).

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

15151255031000 is a wasteful number, since it uses less digits than its factorization.

15151255031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77254 (or 77240 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 15151255031000 in words is "fifteen trillion, one hundred fifty-one billion, two hundred fifty-five million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 27961 49261 55922 98522 111844 139805 197044 223688 246305 279610 307571 394088 492610 541871 559220 615142 699025 985220 1083742 1118440 1230284 1231525 1398050 1537855 1970440 2167484 2460568 2463050 2709355 2796100 3075710 3495125 4334968 4926100 5418710 5592200 6151420 6157625 6990250 7689275 9852200 10837420 12302840 12315250 13546775 13980500 15378550 21674840 24630500 27093550 27961000 30757100 38446375 49261000 54187100 61514200 67733875 76892750 108374200 135467750 153785500 270935500 307571000 541871000 1377386821 2754773642 5509547284 6886934105 11019094568 13773868210 15151255031 27547736420 30302510062 34434670525 55095472840 60605020124 68869341050 75756275155 121210040248 137738682100 151512550310 172173352625 275477364200 303025100620 344346705250 378781375775 606050201240 688693410500 757562751550 1377386821000 1515125503100 1893906878875 3030251006200 3787813757750 7575627515500 15151255031000