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10130401433432 = 2373797112773943
BaseRepresentation
bin1001001101101010101011…
…1110101001011101011000
31022212110100002112102121002
42103122222332221131120
52311434030231332212
633313501524204132
72063616535263440
oct223325276513530
938773302472532
1010130401433432
113256308568015
12117740ab39648
135863a6253c17
14270457a53120
151287ad14eac2
hex936aafa9758

10130401433432 has 128 divisors (see below), whose sum is σ = 22340807562240. Its totient is φ = 4215535695360.

The previous prime is 10130401433413. The next prime is 10130401433437. The reversal of 10130401433432 is 23433410403101.

It is a happy number.

It is a super-2 number, since 2×101304014334322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10130401433395 and 10130401433404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130401433437) 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, 2569209653 + ... + 2569213595.

It is an arithmetic number, because the mean of its divisors is an integer number (174537559080).

Almost surely, 210130401433432 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 10130401433432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11170403781120).

10130401433432 is an abundant number, since it is smaller than the sum of its proper divisors (12210406128808).

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

10130401433432 is a wasteful number, since it uses less digits than its factorization.

10130401433432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6241 (or 6237 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 10130401433432 its reverse (23433410403101), we get a palindrome (33563811836533).

The spelling of 10130401433432 in words is "ten trillion, one hundred thirty billion, four hundred one million, four hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 971 1036 1277 1942 2072 2554 3884 3943 5108 6797 7768 7886 8939 10216 13594 15772 17878 27188 27601 31544 35756 35927 47249 54376 55202 71512 71854 94498 110404 143708 145891 188996 220808 251489 287416 291782 330743 377992 502978 583564 661486 1005956 1021237 1167128 1239967 1322972 2011912 2042474 2479934 2645944 3828653 4084948 4959868 5035211 7657306 8169896 8679769 9919736 10070422 15314612 17359538 20140844 26800571 30629224 34719076 35246477 40281688 45878779 53601142 69438152 70492954 91757558 107202284 140985908 141660161 183515116 186302807 214404568 281971816 283320322 321151453 367030232 372605614 566640644 642302906 745211228 991621127 1133281288 1284605812 1304119649 1490422456 1983242254 2569211624 2608239298 3966484508 4889189881 5216478596 7932969016 9778379762 10432957192 19556759524 34224329167 39113519048 68448658334 136897316668 180900025597 273794633336 361800051194 723600102388 1266300179179 1447200204776 2532600358358 5065200716716 10130401433432