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101223343040 = 2651933534643
BaseRepresentation
bin101111001000101100…
…0011010001111000000
3100200021102120121102012
41132101120122033000
53124301133434130
6114300143312052
710212260135201
oct1362130321700
9320242517365
10101223343040
1139a23a35906
121774b5ab628
1397120b7b71
144c837095a8
152976836995
hex179161a3c0

101223343040 has 112 divisors (see below), whose sum is σ = 243025684128. Its totient is φ = 40156790784.

The previous prime is 101223343031. The next prime is 101223343069. The reversal of 101223343040 is 40343322101.

It is a junction number, because it is equal to n+sod(n) for n = 101223342997 and 101223343015.

It is a congruent number.

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, 21798959 + ... + 21803601.

Almost surely, 2101223343040 is an apocalyptic number.

101223343040 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 101223343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121512842064).

101223343040 is an abundant number, since it is smaller than the sum of its proper divisors (141802341088).

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

101223343040 is a wasteful number, since it uses less digits than its factorization.

101223343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 101223343040 its reverse (40343322101), we get a palindrome (141566665141).

The spelling of 101223343040 in words is "one hundred one billion, two hundred twenty-three million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 193 320 353 386 706 772 965 1412 1544 1765 1930 2824 3088 3530 3860 4643 5648 6176 7060 7720 9286 11296 12352 14120 15440 18572 22592 23215 28240 30880 37144 46430 56480 61760 68129 74288 92860 112960 136258 148576 185720 272516 297152 340645 371440 545032 681290 742880 896099 1090064 1362580 1485760 1638979 1792198 2180128 2725160 3277958 3584396 4360256 4480495 5450320 6555916 7168792 8194895 8960990 10900640 13111832 14337584 16389790 17921980 21801280 26223664 28675168 32779580 35843960 52447328 57350336 65559160 71687920 104894656 131118320 143375840 262236640 286751680 316322947 524473280 632645894 1265291788 1581614735 2530583576 3163229470 5061167152 6326458940 10122334304 12652917880 20244668608 25305835760 50611671520 101223343040