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2120155665201 = 3271583191311113
BaseRepresentation
bin11110110110100011001…
…000000001001100110001
321111200111021221001222100
4132312203020001030301
5234214034322241301
64301552553531013
7306114301543620
oct36664310011461
97450437831870
102120155665201
11748175667532
122a2a97a13a69
13124c11a82112
147488a7576b7
153a23b981286
hex1eda3201331

2120155665201 has 48 divisors (see below), whose sum is σ = 3504296480256. Its totient is φ = 1210010393088.

The previous prime is 2120155665041. The next prime is 2120155665241. The reversal of 2120155665201 is 1025665510212.

2120155665201 is a `hidden beast` number, since 2 + 1 + 20 + 1 + 55 + 66 + 520 + 1 = 666.

It is not a de Polignac number, because 2120155665201 - 222 = 2120151470897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2120155665241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190776021 + ... + 190787133.

It is an arithmetic number, because the mean of its divisors is an integer number (73006176672).

Almost surely, 22120155665201 is an apocalyptic number.

2120155665201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2120155665201 is a deficient number, since it is larger than the sum of its proper divisors (1384140815055).

2120155665201 is a wasteful number, since it uses less digits than its factorization.

2120155665201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14622 (or 14619 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 2120155665201 in words is "two trillion, one hundred twenty billion, one hundred fifty-five million, six hundred sixty-five thousand, two hundred one".

Divisors: 1 3 7 9 21 63 1583 1913 4749 5739 11081 11113 13391 14247 17217 33243 33339 40173 77791 99729 100017 120519 233373 700119 3028279 9084837 17591879 21197953 21259169 27254511 52775637 63593859 63777507 123143153 148814183 158326911 190781577 191332521 369429459 446442549 1108288377 1339327647 33653264527 100959793581 235572851689 302879380743 706718555067 2120155665201