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10233341212440 = 23351077589105019
BaseRepresentation
bin1001010011101010001010…
…1010101111011100011000
31100020022001010220000111210
42110322202222233130120
52320130340322244230
633433044305023120
72104222510050303
oct224724252573430
940208033800453
1010233341212440
113295a32371645
121193359324aa0
13592cccb21468
142754212c1b3a
1512b2d54d4eb0
hex94ea2aaf718

10233341212440 has 128 divisors (see below), whose sum is σ = 30991317984000. Its totient is φ = 2703005372928.

The previous prime is 10233341212399. The next prime is 10233341212517. The reversal of 10233341212440 is 4421214333201.

10233341212440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10233341212398 and 10233341212407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97390251 + ... + 97495269.

It is an arithmetic number, because the mean of its divisors is an integer number (242119671750).

Almost surely, 210233341212440 is an apocalyptic number.

10233341212440 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 10233341212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15495658992000).

10233341212440 is an abundant number, since it is smaller than the sum of its proper divisors (20757976771560).

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

10233341212440 is a wasteful number, since it uses less digits than its factorization.

10233341212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112729 (or 112725 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10233341212440 its reverse (4421214333201), we get a palindrome (14654555545641).

The spelling of 10233341212440 in words is "ten trillion, two hundred thirty-three billion, three hundred forty-one million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 7589 12840 15178 22767 30356 37945 45534 60712 75890 91068 105019 113835 151780 182136 210038 227670 303560 315057 420076 455340 525095 630114 812023 840152 910680 1050190 1260228 1575285 1624046 2100380 2436069 2520456 3150570 3248092 4060115 4200760 4872138 6301140 6496184 8120230 9744276 11237033 12180345 12602280 16240460 19488552 22474066 24360690 32480920 33711099 44948132 48721380 56185165 67422198 89896264 97442760 112370330 134844396 168555495 224740660 269688792 337110990 449481320 674221980 796989191 1348443960 1593978382 2390967573 3187956764 3984945955 4781935146 6375913528 7969891910 9563870292 11954837865 15939783820 19127740584 23909675730 31879567640 47819351460 85277843437 95638702920 170555686874 255833530311 341111373748 426389217185 511667060622 682222747496 852778434370 1023334121244 1279167651555 1705556868740 2046668242488 2558335303110 3411113737480 5116670606220 10233341212440