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2130001141224 = 2331149156928879
BaseRepresentation
bin11110111111101101111…
…101100001110111101000
321112121220102221002001110
4132333231331201313220
5234344220243004344
64310301540350320
7306613261654425
oct36775575416750
97477812832043
102130001141224
1175136812a380
122a49850a53a0
13125b20748488
1475142174d4c
153a615eb93b9
hex1efedf61de8

2130001141224 has 128 divisors (see below), whose sum is σ = 5831357184000. Its totient is φ = 642985996800.

The previous prime is 2130001141217. The next prime is 2130001141231. The reversal of 2130001141224 is 4221411000312.

It is an interprime number because it is at equal distance from previous prime (2130001141217) and next prime (2130001141231).

It is a self number, because there is not a number n which added to its sum of digits gives 2130001141224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73741617 + ... + 73770495.

It is an arithmetic number, because the mean of its divisors is an integer number (45557478000).

Almost surely, 22130001141224 is an apocalyptic number.

2130001141224 is a gapful number since it is divisible by the number (24) 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 2130001141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915678592000).

2130001141224 is an abundant number, since it is smaller than the sum of its proper divisors (3701356042776).

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

2130001141224 is a wasteful number, since it uses less digits than its factorization.

2130001141224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29959 (or 29955 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2130001141224 its reverse (4221411000312), we get a palindrome (6351412141536).

The spelling of 2130001141224 in words is "two trillion, one hundred thirty billion, one million, one hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 491 569 982 1138 1473 1707 1964 2276 2946 3414 3928 4552 5401 5892 6259 6828 10802 11784 12518 13656 16203 18777 21604 25036 28879 32406 37554 43208 50072 57758 64812 75108 86637 115516 129624 150216 173274 231032 279379 317669 346548 558758 635338 693096 838137 953007 1117516 1270676 1676274 1906014 2235032 2541352 3073169 3352548 3812028 6146338 6705096 7624056 9219507 12292676 14179589 16432151 18439014 24585352 28359178 32864302 36878028 42538767 49296453 56718356 65728604 73756056 85077534 98592906 113436712 131457208 155975479 170155068 180753661 197185812 311950958 340310136 361507322 394371624 467926437 542260983 623901916 723014644 935852874 1084521966 1247803832 1446029288 1871705748 2169043932 3743411496 4338087864 8068186141 16136372282 24204558423 32272744564 48409116846 64545489128 88750047551 96818233692 177500095102 193636467384 266250142653 355000190204 532500285306 710000380408 1065000570612 2130001141224