Search a number
-
+
301330012101000 = 23353313240107657
BaseRepresentation
bin100010010000011101101110…
…0010101001101100110001000
31110111220212102122100201220120
41010200323130111031212020
5303443442331044213000
62544513032503223240
7120320242415010261
oct10440733425154610
91414825378321816
10301330012101000
11880163821a0373
1229967937447b20
13cc1a3b52402ac
14545a643c99968
1524c844249d6a0
hex1120edc54d988

301330012101000 has 128 divisors (see below), whose sum is σ = 970477045724160. Its totient is φ = 77762583744000.

The previous prime is 301330012100981. The next prime is 301330012101049. The reversal of 301330012101000 is 101210033103.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1619960829 + ... + 1620146828.

It is an arithmetic number, because the mean of its divisors is an integer number (7581851919720).

Almost surely, 2301330012101000 is an apocalyptic number.

301330012101000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

301330012101000 is an abundant number, since it is smaller than the sum of its proper divisors (669147033623160).

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

301330012101000 is a wasteful number, since it uses less digits than its factorization.

301330012101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240107712 (or 3240107698 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 301330012101000 its reverse (101210033103), we get a palindrome (301431222134103).

The spelling of 301330012101000 in words is "three hundred one trillion, three hundred thirty billion, twelve million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 23250 31000 46500 93000 3240107657 6480215314 9720322971 12960430628 16200538285 19440645942 25920861256 32401076570 38881291884 48601614855 64802153140 77762583768 81002691425 97203229710 100443337367 129604306280 162005382850 194406459420 200886674734 243008074275 301330012101 324010765700 388812918840 401773349468 405013457125 486016148550 502216686835 602660024202 648021531400 803546698936 810026914250 972032297100 1004433373670 1205320048404 1215040371375 1506650060505 1620053828500 1944064594200 2008866747340 2410640096808 2430080742750 2511083434175 3013300121010 3240107657000 4017733494680 4860161485500 5022166868350 6026600242020 7533250302525 9720322971000 10044333736700 12053200484040 12555417170875 15066500605050 20088667473400 25110834341750 30133001210100 37666251512625 50221668683500 60266002420200 75332503025250 100443337367000 150665006050500 301330012101000