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10114404343420 = 22513331997117881
BaseRepresentation
bin1001001100101111000101…
…1110100101111001111100
31022210221001020012001112211
42103023301132211321330
52311203300002442140
633302254311110204
72062512240253156
oct223136136457174
938727036161484
1010114404343420
11324a54962a573
1211742a5672364
13584a26c793a0
1426d77b23bad6
15128173a312ea
hex932f17a5e7c

10114404343420 has 96 divisors (see below), whose sum is σ = 22966427606976. Its totient is φ = 3719500646400.

The previous prime is 10114404343403. The next prime is 10114404343441. The reversal of 10114404343420 is 2434340441101.

It is a super-2 number, since 2×101144043434202 (a number of 27 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 31 ways as a sum of consecutive naturals, for example, 85742880 + ... + 85860760.

It is an arithmetic number, because the mean of its divisors is an integer number (239233620906).

Almost surely, 210114404343420 is an apocalyptic number.

10114404343420 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 10114404343420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483213803488).

10114404343420 is an abundant number, since it is smaller than the sum of its proper divisors (12852023263556).

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

10114404343420 is a wasteful number, since it uses less digits than its factorization.

10114404343420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119231 (or 119229 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 10114404343420 its reverse (2434340441101), we get a palindrome (12548744784521).

The spelling of 10114404343420 in words is "ten trillion, one hundred fourteen billion, four hundred four million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 331 662 997 1324 1655 1994 3310 3988 4303 4985 6620 8606 9970 12961 17212 19940 21515 25922 43030 51844 64805 86060 117881 129610 235762 259220 330007 471524 589405 660014 1178810 1320028 1532453 1650035 2357620 3064906 3300070 4290091 6129812 6600140 7662265 8580182 15324530 17160364 21450455 30649060 39018611 42900910 78037222 85801820 117527357 156074444 195093055 235054714 390186110 470109428 507241943 587636785 780372220 1014483886 1175273570 1527855641 2028967772 2350547140 2536209715 3055711282 5072419430 6111422564 7639278205 10144838860 15278556410 30557112820 38901555167 77803110334 155606220668 194507775835 389015551670 505720217171 778031103340 1011440434342 2022880868684 2528601085855 5057202171710 10114404343420