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1011434024232 = 233347223446767
BaseRepresentation
bin11101011011111100010…
…10100110110100101000
310120200200120120001001000
432231332022212310220
5113032404102233412
62052351341155000
7133034164232442
oct16557612466450
93520616501030
101011434024232
1135aa461585a5
1214403325ba60
13744bb0b8358
1436d4cc17492
151b49a48a4dc
hexeb7e2a6d28

1011434024232 has 128 divisors (see below), whose sum is σ = 2882189721600. Its totient is φ = 328490956224.

The previous prime is 1011434024231. The next prime is 1011434024299. The reversal of 1011434024232 is 2324204341101.

1011434024232 is a `hidden beast` number, since 10 + 1 + 14 + 3 + 402 + 4 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1011434024196 and 1011434024205.

It is not an unprimeable number, because it can be changed into a prime (1011434024231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2040513 + ... + 2487279.

It is an arithmetic number, because the mean of its divisors is an integer number (22517107200).

Almost surely, 21011434024232 is an apocalyptic number.

1011434024232 is a gapful number since it is divisible by the number (12) 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 1011434024232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441094860800).

1011434024232 is an abundant number, since it is smaller than the sum of its proper divisors (1870755697368).

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

1011434024232 is a wasteful number, since it uses less digits than its factorization.

1011434024232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447052 (or 447042 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1011434024232 its reverse (2324204341101), we get a palindrome (3335638365333).

The spelling of 1011434024232 in words is "one trillion, eleven billion, four hundred thirty-four million, twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 223 282 376 423 446 564 669 846 892 1128 1269 1338 1692 1784 2007 2538 2676 3384 4014 5076 5352 6021 8028 10152 10481 12042 16056 20962 24084 31443 41924 48168 62886 83848 94329 125772 188658 251544 282987 377316 446767 565974 754632 893534 1131948 1340301 1787068 2263896 2680602 3574136 4020903 5361204 8041806 10722408 12062709 16083612 20998049 24125418 32167224 41996098 48250836 62994147 83992196 96501672 99629041 125988294 167984392 188982441 199258082 251976588 298887123 377964882 398516164 503953176 566947323 597774246 755929764 797032328 896661369 1133894646 1195548492 1511859528 1793322738 2267789292 2391096984 2689984107 3586645476 4535578584 4682564927 5379968214 7173290952 9365129854 10759936428 14047694781 18730259708 21519872856 28095389562 37460519416 42143084343 56190779124 84286168686 112381558248 126429253029 168572337372 252858506058 337144674744 505717012116 1011434024232