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202201121020122 = 232737282111537421
BaseRepresentation
bin101101111110011010011101…
…111111011101100011011010
3222111221020102210011022112200
4231332122131333131203122
5203000330343440120442
61554013525043551030
760406356163301040
oct5576323577354332
9874836383138480
10202201121020122
1159478017497344
121a817b2238b476
1388a963a172923
1437d082d406390
151859aadb2a34c
hexb7e69dfdd8da

202201121020122 has 96 divisors (see below), whose sum is σ = 514239173645184. Its totient is φ = 56208321187200.

The previous prime is 202201121020049. The next prime is 202201121020139. The reversal of 202201121020122 is 221020121102202.

It is a happy number.

202201121020122 is a `hidden beast` number, since 2 + 0 + 220 + 11 + 210 + 201 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202201121020095 and 202201121020104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130750972 + ... + 132288392.

It is an arithmetic number, because the mean of its divisors is an integer number (5356658058804).

Almost surely, 2202201121020122 is an apocalyptic number.

202201121020122 is an abundant number, since it is smaller than the sum of its proper divisors (312038052625062).

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

202201121020122 is a wasteful number, since it uses less digits than its factorization.

202201121020122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565684 (or 1565681 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202201121020122 its reverse (221020121102202), we get a palindrome (423221242122324).

The spelling of 202201121020122 in words is "two hundred two trillion, two hundred one billion, one hundred twenty-one million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 28211 56422 84633 169266 197477 253899 394954 507798 592431 1043807 1184862 1537421 1777293 2087614 3074842 3131421 3554586 4612263 6262842 7306649 9224526 9394263 10761947 13836789 14613298 18788526 21523894 21919947 27673578 32285841 43839894 56884577 64571682 65759841 96857523 113769154 131519682 170653731 193715046 341307462 398192039 511961193 796384078 1023922386 1194576117 2389152234 3583728351 7167456702 43372183831 86744367662 130116551493 260233102986 303605286817 390349654479 607210573634 780699308958 910815860451 1604770801747 1821631720902 2732447581353 3209541603494 4814312405241 5464895162706 9628624810482 11233395612229 14442937215723 22466791224458 28885874431446 33700186836687 67400373673374 101100560510061 202201121020122