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1122314351340 = 22357131405114629
BaseRepresentation
bin10000010101001111001…
…001011111001011101100
310222021220000110021011210
4100111033021133023230
5121341444433220330
62215330055314420
7144040665404310
oct20251711371354
93867800407153
101122314351340
113a2a75213476
1216161897ba10
1381aabab1370
143c46acb5b40
151e2d99c58b0
hex1054f25f2ec

1122314351340 has 192 divisors, whose sum is σ = 3868207580160. Its totient is φ = 236762956800.

The previous prime is 1122314351339. The next prime is 1122314351341. The reversal of 1122314351340 is 431534132211.

It is an interprime number because it is at equal distance from previous prime (1122314351339) and next prime (1122314351341).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1122314351298 and 1122314351307.

It is not an unprimeable number, because it can be changed into a prime (1122314351341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76711146 + ... + 76725774.

It is an arithmetic number, because the mean of its divisors is an integer number (20146914480).

Almost surely, 21122314351340 is an apocalyptic number.

1122314351340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122314351340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934103790080).

1122314351340 is an abundant number, since it is smaller than the sum of its proper divisors (2745893228820).

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

1122314351340 is a wasteful number, since it uses less digits than its factorization.

1122314351340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28712 (or 28710 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 1122314351340 its reverse (431534132211), we get a palindrome (1553848483551).

The spelling of 1122314351340 in words is "one trillion, one hundred twenty-two billion, three hundred fourteen million, three hundred fifty-one thousand, three hundred forty".