Search a number
-
+
1122098030004 = 22373850132069
BaseRepresentation
bin10000010101000010010…
…000010010010110110100
310222021022221102000002110
4100111002100102112310
5121341024043430004
62215252411011020
7144032430612000
oct20250220222664
93867287360073
101122098030004
113a29740a3006
12161578439a70
1381a76031183
143c44a285700
151e2c59e5589
hex105424125b4

1122098030004 has 96 divisors (see below), whose sum is σ = 3053782368000. Its totient is φ = 320551728000.

The previous prime is 1122098029999. The next prime is 1122098030017. The reversal of 1122098030004 is 4000308902211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34974082 + ... + 35006150.

It is an arithmetic number, because the mean of its divisors is an integer number (31810233000).

Almost surely, 21122098030004 is an apocalyptic number.

1122098030004 is a gapful number since it is divisible by the number (14) 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 1122098030004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526891184000).

1122098030004 is an abundant number, since it is smaller than the sum of its proper divisors (1931684337996).

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

1122098030004 is a wasteful number, since it uses less digits than its factorization.

1122098030004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40598 (or 40582 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 1122098030004 in words is "one trillion, one hundred twenty-two billion, ninety-eight million, thirty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 8501 17002 25503 32069 34004 51006 59507 64138 96207 102012 119014 128276 178521 192414 224483 238028 357042 384828 416549 448966 673449 714084 833098 897932 1249647 1346898 1571381 1666196 2499294 2693796 2915843 3142762 4714143 4998588 5831686 6285524 8747529 9428286 10999667 11663372 17495058 18856572 21999334 32999001 34990116 43998668 65998002 131996004 272618569 545237138 817855707 1090474276 1635711414 1908329983 3271422828 3816659966 5724989949 7633319932 11449979898 13358309881 22899959796 26716619762 40074929643 53433239524 80149859286 93508169167 160299718572 187016338334 280524507501 374032676668 561049015002 1122098030004