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303114102114030 = 235411573533444281
BaseRepresentation
bin100010011101011100100000…
…0011000100000011011101110
31110202020102110221110211020120
41010322321000120200123232
5304212210140120122110
62552400410212025410
7120563162006626554
oct10472710030403356
91422212427424216
10303114102114030
1188643a72525299
1229bb5663602266
13100196ca25710c
1454bcb2d647bd4
152509a60391870
hex113ae406206ee

303114102114030 has 128 divisors (see below), whose sum is σ = 750177677805696. Its totient is φ = 78334312243200.

The previous prime is 303114102114013. The next prime is 303114102114121. The reversal of 303114102114030 is 30411201411303.

It is a happy number.

It is a super-2 number, since 2×3031141021140302 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 682035490 + ... + 682479770.

It is an arithmetic number, because the mean of its divisors is an integer number (5860763107857).

Almost surely, 2303114102114030 is an apocalyptic number.

303114102114030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 303114102114030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375088838902848).

303114102114030 is an abundant number, since it is smaller than the sum of its proper divisors (447063575691666).

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

303114102114030 is a wasteful number, since it uses less digits than its factorization.

303114102114030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448022.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 303114102114030 its reverse (30411201411303), we get a palindrome (333525303525333).

The spelling of 303114102114030 in words is "three hundred three trillion, one hundred fourteen billion, one hundred two million, one hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 157 205 246 314 410 471 615 785 942 1230 1570 2355 3533 4710 6437 7066 10599 12874 17665 19311 21198 32185 35330 38622 52995 64370 96555 105990 144853 193110 289706 434559 444281 554681 724265 869118 888562 1109362 1332843 1448530 1664043 2172795 2221405 2665686 2773405 3328086 4345590 4442810 5546810 6664215 8320215 13328430 16640430 18215521 22741921 36431042 45483842 54646563 68225763 69752117 91077605 109293126 113709605 136451526 139504234 182155210 209256351 227419210 273232815 341128815 348760585 418512702 546465630 682257630 697521170 1046281755 1569644773 2092563510 2859836797 3139289546 4708934319 5719673594 7848223865 8579510391 9417868638 14299183985 15696447730 17159020782 23544671595 28598367970 42897551955 47089343190 64355435693 85795103910 128710871386 193066307079 246434229361 321777178465 386132614158 492868458722 643554356930 739302688083 965331535395 1232171146805 1478605376166 1930663070790 2464342293610 3696513440415 7393026880830 10103803403801 20207606807602 30311410211403 50519017019005 60622820422806 101038034038010 151557051057015 303114102114030