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2120352520044 = 22311107487308263
BaseRepresentation
bin11110110110101110110…
…110111101011101101100
321111201000000100100001110
4132312232312331131230
5234214440221120134
64302024305112020
7306122212021503
oct36665666753554
97451000310043
102120352520044
117482667a1490
122a2b31928610
13124c437a7985
14748a895b83a
153a24ddb87e9
hex1edaedbd76c

2120352520044 has 96 divisors (see below), whose sum is σ = 5458906607616. Its totient is φ = 635217007680.

The previous prime is 2120352520001. The next prime is 2120352520051. The reversal of 2120352520044 is 4400252530212.

It is a junction number, because it is equal to n+sod(n) for n = 2120352519993 and 2120352520020.

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, 6724257 + ... + 7032519.

It is an arithmetic number, because the mean of its divisors is an integer number (56863610496).

Almost surely, 22120352520044 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 2120352520044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729453303808).

2120352520044 is an abundant number, since it is smaller than the sum of its proper divisors (3338554087572).

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

2120352520044 is a wasteful number, since it uses less digits than its factorization.

2120352520044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308875 (or 308873 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 2120352520044 in words is "two trillion, one hundred twenty billion, three hundred fifty-two million, five hundred twenty thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 487 642 974 1177 1284 1461 1948 2354 2922 3531 4708 5357 5844 7062 10714 14124 16071 21428 32142 52109 64284 104218 156327 208436 308263 312654 573199 616526 625308 924789 1146398 1233052 1719597 1849578 2292796 3390893 3439194 3699156 6781786 6878388 10172679 13563572 20345358 32984141 40690716 65968282 98952423 131936564 150124081 197904846 300248162 362825551 395809692 450372243 600496324 725651102 900744486 1088476653 1451302204 1651364891 1801488972 2176953306 3302729782 4353906612 4954094673 6605459564 9908189346 16063276667 19816378692 32126553334 48189830001 64253106668 96379660002 176696043337 192759320004 353392086674 530088130011 706784173348 1060176260022 2120352520044