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1023233123010 = 235719954145259
BaseRepresentation
bin11101110001111010111…
…00100110001011000010
310121211010212122100201110
432320331130212023002
5113231040134414020
62102022232544150
7133632446016360
oct16707534461302
93554125570643
101023233123010
11364a504710aa
12146386852056
137564b73b5c7
143774bc9a630
151b93b2748e0
hexee3d7262c2

1023233123010 has 128 divisors (see below), whose sum is σ = 2825961984000. Its totient is φ = 232271297280.

The previous prime is 1023233123009. The next prime is 1023233123071. The reversal of 1023233123010 is 103213323201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22585761 + ... + 22631019.

It is an arithmetic number, because the mean of its divisors is an integer number (22077828000).

Almost surely, 21023233123010 is an apocalyptic number.

1023233123010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023233123010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412980992000).

1023233123010 is an abundant number, since it is smaller than the sum of its proper divisors (1802728860990).

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

1023233123010 is a wasteful number, since it uses less digits than its factorization.

1023233123010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46016.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1023233123010 its reverse (103213323201), we get a palindrome (1126446446211).

The spelling of 1023233123010 in words is "one trillion, twenty-three billion, two hundred thirty-three million, one hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 199 210 398 541 597 995 1082 1194 1393 1623 1990 2705 2786 2985 3246 3787 4179 5410 5970 6965 7574 8115 8358 11361 13930 16230 18935 20895 22722 37870 41790 45259 56805 90518 107659 113610 135777 215318 226295 271554 316813 322977 452590 538295 633626 645954 678885 753613 950439 1076590 1357770 1507226 1584065 1614885 1900878 2260839 3168130 3229770 3768065 4521678 4752195 7536130 9006541 9504390 11304195 18013082 22608390 24485119 27019623 45032705 48970238 54039246 63045787 73455357 90065410 122425595 126091574 135098115 146910714 171395833 189137361 244851190 270196230 315228935 342791666 367276785 378274722 514187499 630457870 734553570 856979165 945686805 1028374998 1713958330 1891373610 2570937495 4872538681 5141874990 9745077362 14617616043 24362693405 29235232086 34107770767 48725386810 68215541534 73088080215 102323312301 146176160430 170538853835 204646624602 341077707670 511616561505 1023233123010