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1121430004420 = 2251147671618739
BaseRepresentation
bin10000010100011010011…
…011111110001011000100
310222012121101101210021011
4100110122123332023010
5121333142040120140
62215102224532004
7144010036521355
oct20243233761304
93865541353234
101121430004420
113a2661002550
12161410781004
138199a80866b
143c3c5671d2c
151e28703bcea
hex1051a6fe2c4

1121430004420 has 96 divisors (see below), whose sum is σ = 2662917949440. Its totient is φ = 393159085440.

The previous prime is 1121430004391. The next prime is 1121430004439. The reversal of 1121430004420 is 244000341211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1121430004391 and 1121430004400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116590 + ... + 1502149.

It is an arithmetic number, because the mean of its divisors is an integer number (27738728640).

Almost surely, 21121430004420 is an apocalyptic number.

1121430004420 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 1121430004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331458974720).

1121430004420 is an abundant number, since it is smaller than the sum of its proper divisors (1541487945020).

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

1121430004420 is a wasteful number, since it uses less digits than its factorization.

1121430004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618873 (or 1618871 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1121430004420 its reverse (244000341211), we get a palindrome (1365430345631).

The spelling of 1121430004420 in words is "one trillion, one hundred twenty-one billion, four hundred thirty million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 67 94 110 134 188 220 235 268 335 470 517 670 737 940 1034 1340 1474 2068 2585 2948 3149 3685 5170 6298 7370 10340 12596 14740 15745 31490 34639 62980 69278 138556 173195 346390 692780 1618739 3237478 6474956 8093695 16187390 17806129 32374780 35612258 71224516 76080733 89030645 108455513 152161466 178061290 216911026 304322932 356122580 380403665 433822052 542277565 760807330 836888063 1084555130 1193010643 1521614660 1673776126 2169110260 2386021286 3347552252 4184440315 4772042572 5097409111 5965053215 8368880630 10194818222 11930106430 16737761260 20389636444 23860212860 25487045555 50974091110 56071500221 101948182220 112143000442 224286000884 280357501105 560715002210 1121430004420