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101222455440 = 24358910394561
BaseRepresentation
bin101111001000101010…
…1000001100010010000
3100200021100220111212010
41132101111001202100
53124300422033230
6114300112302520
710212246450351
oct1362125014220
9320240814763
10101222455440
1139a23489a57
121774b241a40
139711b66b62
144c83557d28
15297670d9b0
hex1791541890

101222455440 has 160 divisors (see below), whose sum is σ = 317690380800. Its totient is φ = 26657832960.

The previous prime is 101222455423. The next prime is 101222455441. The reversal of 101222455440 is 44554222101.

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 = 101222455398 and 101222455407.

It is not an unprimeable number, because it can be changed into a prime (101222455441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22190760 + ... + 22195320.

It is an arithmetic number, because the mean of its divisors is an integer number (1985564880).

Almost surely, 2101222455440 is an apocalyptic number.

101222455440 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 101222455440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158845190400).

101222455440 is an abundant number, since it is smaller than the sum of its proper divisors (216467925360).

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

101222455440 is a wasteful number, since it uses less digits than its factorization.

101222455440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 101222455440 its reverse (44554222101), we get a palindrome (145776677541).

The spelling of 101222455440 in words is "one hundred one billion, two hundred twenty-two million, four hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1039 1068 1335 1424 1780 2078 2136 2670 3117 3560 4156 4272 4561 5195 5340 6234 7120 8312 9122 10390 10680 12468 13683 15585 16624 18244 20780 21360 22805 24936 27366 31170 36488 41560 45610 49872 54732 62340 68415 72976 83120 91220 92471 109464 124680 136830 182440 184942 218928 249360 273660 277413 364880 369884 405929 462355 547320 554826 739768 811858 924710 1094640 1109652 1217787 1387065 1479536 1623716 1849420 2029645 2219304 2435574 2774130 3247432 3698840 4059290 4438608 4738879 4871148 5548260 6088935 6494864 7397680 8118580 9477758 9742296 11096520 12177870 14216637 16237160 18955516 19484592 22193040 23694395 24355740 28433274 32474320 37911032 47388790 48711480 56866548 71083185 75822064 94777580 97422960 113733096 142166370 189555160 227466192 284332740 379110320 421760231 568665480 843520462 1137330960 1265280693 1687040924 2108801155 2530561386 3374081848 4217602310 5061122772 6326403465 6748163696 8435204620 10122245544 12652806930 16870409240 20244491088 25305613860 33740818480 50611227720 101222455440