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61151103200 = 25521153131113
BaseRepresentation
bin111000111100111000…
…111100100011100000
312211211201120220111002
4320330320330203200
52000214140300300
644031544211132
74263244541465
oct707470744340
9184751526432
1061151103200
1123a30226a20
12ba27469aa8
1359c7091445
142d616d566c
1518cd8305d5
hexe3ce3c8e0

61151103200 has 144 divisors (see below), whose sum is σ = 165930536016. Its totient is φ = 21817036800.

The previous prime is 61151103151. The next prime is 61151103227. The reversal of 61151103200 is 230115116.

61151103200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400844 + ... + 531956.

It is an arithmetic number, because the mean of its divisors is an integer number (1152295389).

Almost surely, 261151103200 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 61151103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82965268008).

61151103200 is an abundant number, since it is smaller than the sum of its proper divisors (104779432816).

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

61151103200 is a wasteful number, since it uses less digits than its factorization.

61151103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131197 (or 131184 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 61151103200 its reverse (230115116), we get a palindrome (61381218316).

The spelling of 61151103200 in words is "sixty-one billion, one hundred fifty-one million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 53 55 80 88 100 106 110 160 176 200 212 220 265 275 352 400 424 440 530 550 583 800 848 880 1060 1100 1166 1325 1696 1760 2120 2200 2332 2650 2915 4240 4400 4664 5300 5830 8480 8800 9328 10600 11660 14575 18656 21200 23320 29150 42400 46640 58300 93280 116600 131113 233200 262226 466400 524452 655565 1048904 1311130 1442243 2097808 2622260 2884486 3277825 4195616 5244520 5768972 6555650 6948989 7211215 10489040 11537944 13111300 13897978 14422430 20978080 23075888 26222600 27795956 28844860 34744945 36056075 46151776 52445200 55591912 57689720 69489890 72112150 76438879 104890400 111183824 115379440 138979780 144224300 152877758 173724725 222367648 230758880 277959560 288448600 305755516 347449450 382194395 555919120 576897200 611511032 694898900 764388790 1111838240 1153794400 1223022064 1389797800 1528777580 1910971975 2446044128 2779595600 3057555160 3821943950 5559191200 6115110320 7643887900 12230220640 15287775800 30575551600 61151103200