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1102211220992 = 2971741441229
BaseRepresentation
bin10000000010100000111…
…010001000011000000000
310220100222222212102200112
4100002200322020120000
5121024312033032432
62202203203410452
7142426551536660
oct20024072103000
93810888772615
101102211220992
11395499555062
12159748383a28
137cc26c3816b
143b4c10261a0
151da0eb877b2
hex100a0e88600

1102211220992 has 160 divisors (see below), whose sum is σ = 2729935897920. Its totient is φ = 433744773120.

The previous prime is 1102211220991. The next prime is 1102211221079. The reversal of 1102211220992 is 2990221122011.

It is a super-2 number, since 2×11022112209922 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102211220991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2277434 + ... + 2718662.

It is an arithmetic number, because the mean of its divisors is an integer number (17062099362).

Almost surely, 21102211220992 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 1102211220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364967948960).

1102211220992 is an abundant number, since it is smaller than the sum of its proper divisors (1627724676928).

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

1102211220992 is an equidigital number, since it uses as much as digits as its factorization.

1102211220992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441312 (or 441296 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 1102211220992 in words is "one trillion, one hundred two billion, two hundred eleven million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 56 64 68 82 112 119 128 136 164 224 238 256 272 287 328 448 476 512 544 574 656 697 896 952 1088 1148 1312 1394 1792 1904 2176 2296 2624 2788 3584 3808 4352 4592 4879 5248 5576 7616 8704 9184 9758 10496 11152 15232 18368 19516 20992 22304 30464 36736 39032 44608 60928 73472 78064 89216 146944 156128 178432 312256 356864 441229 624512 882458 1249024 1764916 2498048 3088603 3529832 6177206 7059664 7500893 12354412 14119328 15001786 18090389 24708824 28238656 30003572 36180778 49417648 52506251 56477312 60007144 72361556 98835296 105012502 112954624 120014288 126632723 144723112 197670592 210025004 225909248 240028576 253265446 289446224 307536613 395341184 420050008 480057152 506530892 578892448 615073226 790682368 840100016 960114304 1013061784 1157784896 1230146452 1581364736 1680200032 1920228608 2026123568 2152756291 2315569792 2460292904 3360400064 3840457216 4052247136 4305512582 4631139584 4920585808 6720800128 8104494272 8611025164 9262279168 9841171616 13441600256 16208988544 17222050328 19682343232 26883200512 32417977088 34444100656 39364686464 64835954176 68888201312 78729372928 137776402624 157458745856 275552805248 551105610496 1102211220992