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1102130220224 = 261119107770057
BaseRepresentation
bin10000000010011100000…
…101001000110011000000
310220100210100110011112002
4100002130011020303000
5121024130314021344
62202151151323132
7142424546205065
oct20023405106300
93810710404462
101102130220224
1139545785aa80
121597252204a8
137cc13217407
143b4b437cc6c
151da079d744e
hex1009c148cc0

1102130220224 has 112 divisors (see below), whose sum is σ = 2534907726720. Its totient is φ = 470165391360.

The previous prime is 1102130220187. The next prime is 1102130220239. The reversal of 1102130220224 is 4220220312011.

It is a super-2 number, since 2×11021302202242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1102130220196 and 1102130220205.

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, 1046204 + ... + 1816260.

Almost surely, 21102130220224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102130220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267453863360).

1102130220224 is an abundant number, since it is smaller than the sum of its proper divisors (1432777506496).

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

1102130220224 is a wasteful number, since it uses less digits than its factorization.

1102130220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770206 (or 770196 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1102130220224 its reverse (4220220312011), we get a palindrome (5322350532235).

The spelling of 1102130220224 in words is "one trillion, one hundred two billion, one hundred thirty million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 107 152 176 209 214 304 352 418 428 608 704 836 856 1177 1216 1672 1712 2033 2354 3344 3424 4066 4708 6688 6848 8132 9416 13376 16264 18832 22363 32528 37664 44726 65056 75328 89452 130112 178904 357808 715616 770057 1431232 1540114 3080228 6160456 8470627 12320912 14631083 16941254 24641824 29262166 33882508 49283648 58524332 67765016 82396099 117048664 135530032 160941913 164792198 234097328 271060064 321883826 329584396 468194656 542120128 643767652 659168792 906357089 936389312 1287535304 1318337584 1565525881 1812714178 2575070608 2636675168 3131051762 3625428356 5150141216 5273350336 6262103524 7250856712 10300282432 12524207048 14501713424 17220784691 25048414096 29003426848 34441569382 50096828192 58006853696 68883138764 100193656384 137766277528 275532555056 551065110112 1102130220224