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1121123233100 = 2252134127177617
BaseRepresentation
bin10000010100001000001…
…001101110110101001100
310222011211000011012010102
4100110020021232311030
5121332030021424400
62215011545430232
7143666323150343
oct20241011566514
93864730135112
101121123233100
113a2513923732
12161345a9b378
138194c0a9780
143c396a18b5a
151e26a1419d5
hex1050826ed4c

1121123233100 has 144 divisors (see below), whose sum is σ = 2693819001216. Its totient is φ = 402361344000.

The previous prime is 1121123233093. The next prime is 1121123233127. The reversal of 1121123233100 is 13323211211.

It is a happy number.

It is a super-2 number, since 2×11211232331002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14405492 + ... + 14483108.

Almost surely, 21121123233100 is an apocalyptic number.

1121123233100 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 1121123233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346909500608).

1121123233100 is an abundant number, since it is smaller than the sum of its proper divisors (1572695768116).

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

1121123233100 is a wasteful number, since it uses less digits than its factorization.

1121123233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77956 (or 77949 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1121123233100 its reverse (13323211211), we get a palindrome (1134446444311).

The spelling of 1121123233100 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-three million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 271 325 410 533 542 650 820 1025 1066 1084 1300 1355 2050 2132 2665 2710 3523 4100 5330 5420 6775 7046 10660 11111 13325 13550 14092 17615 22222 26650 27100 35230 44444 53300 55555 70460 77617 88075 111110 144443 155234 176150 222220 277775 288886 310468 352300 388085 555550 577772 722215 776170 1009021 1111100 1444430 1552340 1940425 2018042 2888860 3182297 3611075 3880850 4036084 5045105 6364594 7222150 7761700 10090210 12729188 14444300 15911485 20180420 21034207 25225525 31822970 41369861 42068414 50451050 63645940 79557425 82739722 84136828 100902100 105171035 159114850 165479444 206849305 210342070 273444691 318229700 413698610 420684140 525855175 546889382 827397220 862402487 1034246525 1051710350 1093778764 1367223455 1724804974 2068493050 2103420700 2734446910 3449609948 4136986100 4312012435 5468893820 6836117275 8624024870 11211232331 13672234550 17248049740 21560062175 22422464662 27344469100 43120124350 44844929324 56056161655 86240248700 112112323310 224224646620 280280808275 560561616550 1121123233100