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1142021100 = 22352112711277
BaseRepresentation
bin100010000010001…
…1101101111101100
32221120220200102210
41010010131233230
54314324133400
6305153250420
740205006403
oct10404355754
92846820383
101142021100
115367063a0
1227a563a10
131527a443c
14ab95a63a
156a3d6950
hex4411dbec

1142021100 has 144 divisors (see below), whose sum is σ = 3620768256. Its totient is φ = 275616000.

The previous prime is 1142021071. The next prime is 1142021107. The reversal of 1142021100 is 11202411.

It is a happy number.

It is a super-4 number, since 4×11420211004 (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1142021107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893662 + ... + 894938.

It is an arithmetic number, because the mean of its divisors is an integer number (25144224).

Almost surely, 21142021100 is an apocalyptic number.

1142021100 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 1142021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810384128).

1142021100 is an abundant number, since it is smaller than the sum of its proper divisors (2478747156).

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

1142021100 is a wasteful number, since it uses less digits than its factorization.

1142021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1142021100 is about 33793.8026862915. The cubic root of 1142021100 is about 1045.2609102569.

Adding to 1142021100 its reverse (11202411), we get a palindrome (1153223511).

The spelling of 1142021100 in words is "one billion, one hundred forty-two million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 271 275 300 330 542 550 660 813 825 1084 1100 1277 1355 1626 1650 2554 2710 2981 3252 3300 3831 4065 5108 5420 5962 6385 6775 7662 8130 8943 11924 12770 13550 14047 14905 15324 16260 17886 19155 20325 25540 27100 28094 29810 31925 35772 38310 40650 42141 44715 56188 59620 63850 70235 74525 76620 81300 84282 89430 95775 127700 140470 149050 168564 178860 191550 210705 223575 280940 298100 346067 351175 383100 421410 447150 692134 702350 842820 894300 1038201 1053525 1384268 1404700 1730335 2076402 2107050 3460670 3806737 4152804 4214100 5191005 6921340 7613474 8651675 10382010 11420211 15226948 17303350 19033685 20764020 22840422 25955025 34606700 38067370 45680844 51910050 57101055 76134740 95168425 103820100 114202110 190336850 228404220 285505275 380673700 571010550 1142021100