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2120105021360 = 2451731173290677
BaseRepresentation
bin11110110110100000000…
…110110100111110110000
321111200100202122002200112
4132312200012310332300
5234213433341140420
64301543544240452
7306113115225134
oct36664006647660
97450322562615
102120105021360
1174814a017017
122a2a82a70128
13124c0442c951
1474883b333c4
153a2372ca8c5
hex1eda01b4fb0

2120105021360 has 160 divisors (see below), whose sum is σ = 5418721608192. Its totient is φ = 767942737920.

The previous prime is 2120105021269. The next prime is 2120105021369. The reversal of 2120105021360 is 631205010212.

It is not an unprimeable number, because it can be changed into a prime (2120105021369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7148342 + ... + 7439018.

Almost surely, 22120105021360 is an apocalyptic number.

2120105021360 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 2120105021360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709360804096).

2120105021360 is an abundant number, since it is smaller than the sum of its proper divisors (3298616586832).

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

2120105021360 is a wasteful number, since it uses less digits than its factorization.

2120105021360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290911 (or 290905 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 2120105021360 in words is "two trillion, one hundred twenty billion, one hundred five million, twenty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 173 248 272 310 340 346 496 527 620 680 692 865 1054 1240 1360 1384 1730 2108 2480 2635 2768 2941 3460 4216 5270 5363 5882 6920 8432 10540 10726 11764 13840 14705 21080 21452 23528 26815 29410 42160 42904 47056 53630 58820 85808 91171 107260 117640 182342 214520 235280 290677 364684 429040 455855 581354 729368 911710 1162708 1453385 1458736 1823420 2325416 2906770 3646840 4650832 4941509 5813540 7293680 9010987 9883018 11627080 18021974 19766036 23254160 24707545 36043948 39532072 45054935 49415090 50287121 72087896 79064144 90109870 98830180 100574242 144175792 153186779 180219740 197660360 201148484 251435605 306373558 360439480 395320720 402296968 502871210 612747116 720878960 765933895 804593936 854881057 1005742420 1225494232 1531867790 1558900751 1709762114 2011484840 2450988464 3063735580 3117801502 3419524228 4022969680 4274405285 6127471160 6235603004 6839048456 7794503755 8548810570 12254942320 12471206008 13678096912 15589007510 17097621140 24942412016 26501312767 31178015020 34195242280 53002625534 62356030040 68390484560 106005251068 124712060080 132506563835 212010502136 265013127670 424021004272 530026255340 1060052510680 2120105021360