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1122320323344 = 2431137479911971
BaseRepresentation
bin10000010101001111100…
…000010001001100010000
310222021220102200200020010
4100111033200101030100
5121342003000321334
62215330431314520
7144041100226353
oct20251740211420
93867812620203
101122320323344
113a2a78622310
1216161a97ba40
1381ab00c26ac
143c46b9cc29a
151e2da2a50e9
hex1054f811310

1122320323344 has 160 divisors (see below), whose sum is σ = 3249334886400. Its totient is φ = 330808665600.

The previous prime is 1122320323339. The next prime is 1122320323361. The reversal of 1122320323344 is 4433230232211.

It is a happy number.

It is a super-2 number, since 2×11223203233442 (a number of 25 digits) contains 22 as substring.

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, 93747279 + ... + 93759249.

It is an arithmetic number, because the mean of its divisors is an integer number (20308343040).

Almost surely, 21122320323344 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 1122320323344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624667443200).

1122320323344 is an abundant number, since it is smaller than the sum of its proper divisors (2127014563056).

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

1122320323344 is a wasteful number, since it uses less digits than its factorization.

1122320323344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16829 (or 16823 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1122320323344 its reverse (4433230232211), we get a palindrome (5555550555555).

The spelling of 1122320323344 in words is "one trillion, one hundred twenty-two billion, three hundred twenty million, three hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4799 4884 6512 9598 9768 11971 14397 19196 19536 23942 28794 35913 38392 47884 52789 57588 71826 76784 95768 105578 115176 131681 143652 158367 177563 191536 211156 230352 263362 287304 316734 355126 395043 422312 442927 526724 532689 574608 633468 710252 790086 844624 885854 1053448 1065378 1266936 1328781 1420504 1580172 1771708 1953193 2106896 2130756 2533872 2657562 2841008 3160344 3543416 3906386 4261512 4872197 5315124 5859579 6320688 7086832 7812772 8523024 9744394 10630248 11719158 14616591 15625544 19488788 21260496 23438316 29233182 31251088 38977576 46876632 57448829 58466364 77955152 93753264 114897658 116932728 172346487 229795316 233865456 344692974 459590632 631937119 689385948 919181264 1263874238 1378771896 1895811357 2125606673 2527748476 2757543792 3791622714 4251213346 5055496952 6376820019 7583245428 8502426692 10110993904 12753640038 15166490856 17004853384 23381673403 25507280076 30332981712 34009706768 46763346806 51014560152 70145020209 93526693612 102029120304 140290040418 187053387224 280580080836 374106774448 561160161672 1122320323344