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31304000224120 = 23513476831875331
BaseRepresentation
bin1110001111000100001111…
…10100000011101101111000
311002211122002121011122121011
413013202013310003231320
513100341043024132440
6150324505325323304
76410432210406601
oct707420764035570
9132748077148534
1031304000224120
119a79a5203a898
123616b12406534
131460c542060c0
147a319bd06da8
1539444eeba9ea
hex1c7887d03b78

31304000224120 has 128 divisors (see below), whose sum is σ = 77579334282240. Its totient is φ = 11295907729920.

The previous prime is 31304000224099. The next prime is 31304000224127. The reversal of 31304000224120 is 2142200040313.

It is a junction number, because it is equal to n+sod(n) for n = 31304000224091 and 31304000224100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31304000224127) by changing a digit.

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, 15754855 + ... + 17630185.

It is an arithmetic number, because the mean of its divisors is an integer number (606088549080).

Almost surely, 231304000224120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31304000224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38789667141120).

31304000224120 is an abundant number, since it is smaller than the sum of its proper divisors (46275334058120).

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

31304000224120 is a wasteful number, since it uses less digits than its factorization.

31304000224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876085 (or 1876081 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 31304000224120 its reverse (2142200040313), we get a palindrome (33446200264433).

The spelling of 31304000224120 in words is "thirty-one trillion, three hundred four billion, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 376 470 520 611 683 940 1222 1366 1880 2444 2732 3055 3415 4888 5464 6110 6830 8879 12220 13660 17758 24440 27320 32101 35516 44395 64202 71032 88790 128404 160505 177580 256808 321010 355160 417313 642020 834626 1284040 1669252 1875331 2086565 3338504 3750662 4173130 7501324 8346260 9376655 15002648 16692520 18753310 24379303 37506620 48758606 75013240 88140557 97517212 121896515 176281114 195034424 243793030 352562228 440702785 487586060 705124456 881405570 975172120 1145827241 1280851073 1762811140 2291654482 2561702146 3525622280 4583308964 5123404292 5729136205 6404255365 9166617928 10246808584 11458272410 12808510730 16651063949 22916544820 25617021460 33302127898 45833089640 51234042920 60200000431 66604255796 83255319745 120400000862 133208511592 166510639490 240800001724 301000002155 333021278980 481600003448 602000004310 666042557960 782600005603 1204000008620 1565200011206 2408000017240 3130400022412 3913000028015 6260800044824 7826000056030 15652000112060 31304000224120