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1122311130330 = 2351323933735729
BaseRepresentation
bin10000010101001110111…
…101001100110011011010
310222021212210101121210010
4100111032331030303122
5121341443122132310
62215325502302350
7144040626130515
oct20251675146332
93867783347703
101122311130330
113a2a73413485
121616178879b6
1381aab224240
143c46a6b7d7c
151e2d958b320
hex1054ef4ccda

1122311130330 has 128 divisors (see below), whose sum is σ = 2921604940800. Its totient is φ = 274281283584.

The previous prime is 1122311130313. The next prime is 1122311130341. The reversal of 1122311130330 is 330311132211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1122311130297 and 1122311130306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31393906 + ... + 31429634.

It is an arithmetic number, because the mean of its divisors is an integer number (22825038600).

Almost surely, 21122311130330 is an apocalyptic number.

1122311130330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122311130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460802470400).

1122311130330 is an abundant number, since it is smaller than the sum of its proper divisors (1799293810470).

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

1122311130330 is a wasteful number, since it uses less digits than its factorization.

1122311130330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36328.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1122311130330 its reverse (330311132211), we get a palindrome (1452622262541).

The spelling of 1122311130330 in words is "one trillion, one hundred twenty-two billion, three hundred eleven million, one hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 239 337 390 478 674 717 1011 1195 1434 1685 2022 2390 3107 3370 3585 4381 5055 6214 7170 8762 9321 10110 13143 15535 18642 21905 26286 31070 35729 43810 46605 65715 71458 80543 93210 107187 131430 161086 178645 214374 241629 357290 402715 464477 483258 535935 805430 928954 1047059 1071870 1208145 1393431 2094118 2322385 2416290 2786862 3141177 4644770 5235295 6282354 6967155 8539231 10470590 12040673 13934310 15705885 17078462 24081346 25617693 31411770 36122019 42696155 51235386 60203365 72244038 85392310 111010003 120406730 128088465 156528749 180610095 222020006 256176930 313057498 333030009 361220190 469586247 555050015 666060018 782643745 939172494 1110100030 1565287490 1665150045 2347931235 2877720847 3330300090 4695862470 5755441694 8633162541 14388604235 17266325082 28777208470 37410371011 43165812705 74820742022 86331625410 112231113033 187051855055 224462226066 374103710110 561155565165 1122311130330