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2421503431000 = 235319953133733
BaseRepresentation
bin100011001111001100110…
…110100001000101011000
322120111022201220200211021
4203033030312201011120
5304133214334243000
65052231234212224
7336643053360523
oct43171466410530
98514281820737
102421503431000
11853a54616165
12331378724074
13147467ba1184
14852b6891bba
1542ec761811a
hex233ccda1158

2421503431000 has 128 divisors (see below), whose sum is σ = 5970848644800. Its totient is φ = 916652620800.

The previous prime is 2421503430949. The next prime is 2421503431043. The reversal of 2421503431000 is 1343051242.

It is a super-2 number, since 2×24215034310002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18040134 + ... + 18173866.

Almost surely, 22421503431000 is an apocalyptic number.

2421503431000 is a gapful number since it is divisible by the number (20) 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 2421503431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985424322400).

2421503431000 is an abundant number, since it is smaller than the sum of its proper divisors (3549345213800).

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

2421503431000 is a wasteful number, since it uses less digits than its factorization.

2421503431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134726 (or 134712 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 2421503431000 its reverse (1343051242), we get a palindrome (2422846482242).

The spelling of 2421503431000 in words is "two trillion, four hundred twenty-one billion, five hundred three million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 953 1000 1900 1906 2375 3800 3812 4750 4765 7624 9500 9530 18107 19000 19060 23825 36214 38120 47650 72428 90535 95300 119125 133733 144856 181070 190600 238250 267466 362140 452675 476500 534932 668665 724280 905350 953000 1069864 1337330 1810700 2263375 2540927 2674660 3343325 3621400 4526750 5081854 5349320 6686650 9053500 10163708 12704635 13373300 16716625 18107000 20327416 25409270 26746600 33433250 50818540 63523175 66866500 101637080 127046350 127447549 133733000 254092700 254895098 317615875 508185400 509790196 635231750 637237745 1019580392 1270463500 1274475490 2421503431 2540927000 2548950980 3186188725 4843006862 5097901960 6372377450 9686013724 12107517155 12744754900 15930943625 19372027448 24215034310 25489509800 31861887250 48430068620 60537585775 63723774500 96860137240 121075171550 127447549000 242150343100 302687928875 484300686200 605375857750 1210751715500 2421503431000