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2120130331220 = 22511431511484207
BaseRepresentation
bin11110110110100001100…
…111011000001001010100
321111200102112020222021202
4132312201213120021110
5234214011331044340
64301550250532032
7306113543320616
oct36664147301124
97450375228252
102120130331220
11748162333760
122a2a8b437018
13124c09751bb5
1474887240db6
153a239629c15
hex1eda19d8254

2120130331220 has 96 divisors (see below), whose sum is σ = 5002897084416. Its totient is φ = 748039824000.

The previous prime is 2120130331211. The next prime is 2120130331243. The reversal of 2120130331220 is 221330310212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2120130331192 and 2120130331201.

It is a congruent number.

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, 686357 + ... + 2170563.

It is an arithmetic number, because the mean of its divisors is an integer number (52113511296).

Almost surely, 22120130331220 is an apocalyptic number.

2120130331220 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 2120130331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501448542208).

2120130331220 is an abundant number, since it is smaller than the sum of its proper divisors (2882766753196).

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

2120130331220 is a wasteful number, since it uses less digits than its factorization.

2120130331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484421 (or 1484419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2120130331220 its reverse (221330310212), we get a palindrome (2341460641432).

The spelling of 2120130331220 in words is "two trillion, one hundred twenty billion, one hundred thirty million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 151 172 215 220 302 430 473 604 755 860 946 1510 1661 1892 2365 3020 3322 4730 6493 6644 8305 9460 12986 16610 25972 32465 33220 64930 71423 129860 142846 285692 357115 714230 1428460 1484207 2968414 5936828 7421035 14842070 16326277 29684140 32652554 63820901 65305108 81631385 127641802 163262770 224115257 255283604 319104505 326525540 448230514 638209010 702029911 896461028 1120576285 1276418020 1404059822 2241152570 2465267827 2808119644 3510149555 4482305140 4930535654 7020299110 9636956051 9861071308 12326339135 14040598220 19273912102 24652678270 38547824204 48184780255 49305356540 96369560510 106006516561 192739121020 212013033122 424026066244 530032582805 1060065165610 2120130331220