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30023131101312 = 2732318289185869
BaseRepresentation
bin1101101001110010011100…
…00100000111100010000000
310221022011221121221110021010
412310321032010013202000
512413344333030220222
6143504234103000520
76216046114454316
oct664711604074200
9127264847843233
1030023131101312
119625813894908
12344a825a39140
13139a22771124b
1475b1ad4440b6
15370e8588380c
hex1b4e4e107880

30023131101312 has 128 divisors (see below), whose sum is σ = 83221285104000. Its totient is φ = 9572017618944.

The previous prime is 30023131101311. The next prime is 30023131101329. The reversal of 30023131101312 is 21310113132003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×300231311013122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30023131101311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161435514 + ... + 161621382.

It is an arithmetic number, because the mean of its divisors is an integer number (650166289875).

Almost surely, 230023131101312 is an apocalyptic number.

30023131101312 is a gapful number since it is divisible by the number (32) 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 30023131101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41610642552000).

30023131101312 is an abundant number, since it is smaller than the sum of its proper divisors (53198154002688).

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

30023131101312 is a wasteful number, since it uses less digits than its factorization.

30023131101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204198 (or 204186 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 30023131101312 its reverse (21310113132003), we get a palindrome (51333244233315).

The spelling of 30023131101312 in words is "thirty trillion, twenty-three billion, one hundred thirty-one million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 18289 36578 54867 73156 109734 146312 185869 219468 292624 371738 420647 438936 557607 585248 743476 841294 877872 1115214 1170496 1261941 1486952 1682588 1755744 2230428 2340992 2523882 2973904 3365176 3511488 4274987 4460856 5047764 5947808 6730352 7022976 8549974 8921712 10095528 11895616 12824961 13460704 17099948 17843424 20191056 23791232 25649922 26921408 34199896 35686848 40382112 51299844 53842816 68399792 71373696 80764224 102599688 136799584 161528448 205199376 273599168 410398752 547198336 820797504 1641595008 3399358141 6798716282 10198074423 13597432564 20396148846 27194865128 40792297692 54389730256 78185237243 81584595384 108779460512 156370474486 163169190768 217558921024 234555711729 312740948972 326338381536 435117842048 469111423458 625481897944 652676763072 938222846916 1250963795888 1305353526144 1876445693832 2501927591776 3752891387664 5003855183552 7505782775328 10007710367104 15011565550656 30023131101312