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103335223440 = 24352999143569
BaseRepresentation
bin110000000111101000…
…0100110000010010000
3100212201121110020200210
41200033100212002100
53143112304122230
6115245504244120
710315512623001
oct1401720460220
9325647406623
10103335223440
113a908048909
121803a910640
13998a7a5437
145003da91a8
152a4be48eb0
hex180f426090

103335223440 has 80 divisors (see below), whose sum is σ = 320448240000. Its totient is φ = 27546679296.

The previous prime is 103335223417. The next prime is 103335223471. The reversal of 103335223440 is 44322533301.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 103335223398 and 103335223407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647976 + ... + 791544.

It is an arithmetic number, because the mean of its divisors is an integer number (4005603000).

Almost surely, 2103335223440 is an apocalyptic number.

103335223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103335223440 is an abundant number, since it is smaller than the sum of its proper divisors (217113016560).

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

103335223440 is a wasteful number, since it uses less digits than its factorization.

103335223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146584 (or 146578 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 103335223440 its reverse (44322533301), we get a palindrome (147657756741).

The spelling of 103335223440 in words is "one hundred three billion, three hundred thirty-five million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2999 5998 8997 11996 14995 17994 23992 29990 35988 44985 47984 59980 71976 89970 119960 143569 143952 179940 239920 287138 359880 430707 574276 717845 719760 861414 1148552 1435690 1722828 2153535 2297104 2871380 3445656 4307070 5742760 6891312 8614140 11485520 17228280 34456560 430563431 861126862 1291690293 1722253724 2152817155 2583380586 3444507448 4305634310 5166761172 6458451465 6889014896 8611268620 10333522344 12916902930 17222537240 20667044688 25833805860 34445074480 51667611720 103335223440